Take-home_Ex2: Applied Spatial Interaction Models- A case study of Singapore public bus commuter flows

Author

NeoYX

Published

December 7, 2023

Modified

December 17, 2023

Setting the Scene

The challenges in urban mobility confront transport operators and city managers. Traditional methods like commuter surveys, despite being costly and time-consuming, have been used to address these questions. However, the delays in cleaning and analyzing survey data often render it outdated by the time reports are ready. The digitization of city-wide infrastructures offers a solution by using data from digital platforms such as GPS and SMART cards.

Currently, although there are a large amount of open data available for public consumption, there are not much research to make use of these data and lack of practical research (using Geospatial Data Science and Analysis) to support policy making decisions.

Objective

Our task for this take-home exercise is to conduct a case study to demonstrate the potential value of GDSA to integrate publicly available data from multiple sources for building a spatial interaction models to determine factors affecting urban mobility patterns of public bus transit.

The Data

Open Government Data

For the purpose of this assignment, data from several open government sources will be used:

  • Passenger Volume by Origin Destination Bus Stops, Bus Stop Location, Train Station (Feb 2023) and Train Station Exit Point (Aug 2023), just to name a few of them, from LTA DataMall.

  • Master Plan 2019 Subzone Boundary, HDB Property Information, School Directory and Information and other relevant data from Data.gov.sg.

Specially collected data

  • Businesses, retail and services, leisure and recreation, etc geospatial data sets assemble by course instructor.

The Task

The specific tasks of this take-home exercise are as follows:

Geospatial Data Science

  • Derive an analytical hexagon data of 375m (this distance is the perpendicular distance between the centre of the hexagon and its edges) to represent the traffic analysis zone (TAZ).

  • With reference to the time intervals provided in the table below, construct an O-D matrix of commuter flows for ONE time interval of our choice by integrating Passenger Volume by Origin Destination Bus Stops and Bus Stop Location from LTA DataMall. The O-D matrix must be aggregated at the analytics hexagon level. I have selected the Weekday Morning Peak for this take home exercise.

    Peak hour period Bus tap on time
    Weekday morning peak (selected) 6am to 9am
    Weekday afternoon peak 5pm to 8pm
    Weekend/holiday morning peak 11am to 2pm
    Weekend/holiday evening peak 4pm to 7pm
  • Display the O-D flows of the passenger trips by using appropriate geovisualisation methods (not more than 5 maps).

  • Describe the spatial patterns revealed by the geovisualisation (not more than 100 words per visual).

  • Assemble at least three propulsive and three attractiveness variables by using aspatial and geospatial from publicly available sources.

  • Compute a distance matrix by using the analytical hexagon data derived earlier.

Spatial Interaction Modelling

  • Calibrate spatial interactive models to determine factors affecting urban commuting flows at the selected time interval.

  • Present the modelling results by using appropriate geovisualisation and graphical visualisation methods. (Not more than 5 visuals)

  • With reference to the Spatial Interaction Model output tables, maps and data visualisation prepared, describe the modelling results. (not more than 100 words per visual).

Getting Started

In this exercise, the following libraries will be used:

  1. sf package to perform geoprocessing tasks

  2. sp package , although an older package, is more efficient for computation of large data.

  3. sfdep package which builds upon spdep package (compute spatial weights matrix and spatially lagged variable for instance..)

  4. tmap to create geovisualisations

  5. stplanr for solving common problems in transport planning and modelling, such as how to best get from point A to point B

  6. tidyverse that supports data science, analysis and communication task including creating static statistical graphs.

  7. knitr to create html tables

  8. DT library to create interactive html tables

  9. ggpubr for some easy-to-use functions for creating and customizing ‘ggplot2’- based publication ready plots.

  10. performance for for computing measures to assess model quality, which are not directly provided by R’s ‘base’ or ‘stats’ packages. The primary goal of the performance package is to provide utilities for computing indices of model quality and goodness of fit. These include measures like r-squared (R2), root mean squared error (RMSE)

  11. reshape2is an old tool from base R. It handles matrix well for our distance matrix, like pivoting function like melt(). Tidyverse does not handle matrix very well.

  12. ggplot2 to plot graphs

  13. plotly to plot interactive graphs

pacman::p_load(sf, sp, sfdep, tmap, stplanr, tidyverse, skimr, knitr, DT, performance, reshape2, ggpubr, ggplot2, plotly, h3jsr)

Importing Data

Aspatial data

Import the Passenger volume by Origin Destination Bus Stops dataset downloaded from the LTA Datamall by using the read_csv() of the readr package.

odbus_aug <- read_csv("data/aspatial/origin_destination_bus_202308.csv")

Check the data fields

glimpse(odbus_aug)
Rows: 5,709,512
Columns: 7
$ YEAR_MONTH          <chr> "2023-08", "2023-08", "2023-08", "2023-08", "2023-…
$ DAY_TYPE            <chr> "WEEKDAY", "WEEKENDS/HOLIDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR       <dbl> 16, 16, 14, 14, 17, 17, 17, 17, 7, 17, 14, 10, 10,…
$ PT_TYPE             <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE      <chr> "04168", "04168", "80119", "80119", "44069", "4406…
$ DESTINATION_PT_CODE <chr> "10051", "10051", "90079", "90079", "17229", "1722…
$ TOTAL_TRIPS         <dbl> 7, 2, 3, 10, 5, 4, 3, 22, 3, 3, 7, 1, 3, 1, 3, 1, …

Processing the aspatial OD data

The ‘ORIGIN_PT_CODE’ and ‘DESTINATION_PT_CODE’ field is in character field. We will convert it to factor data type.

odbus_aug$ORIGIN_PT_CODE <- as.factor(odbus_aug$ORIGIN_PT_CODE)
odbus_aug$DESTINATION_PT_CODE <- as.factor(odbus_aug$DESTINATION_PT_CODE)

The function below will extract origin data based on the four time intervals required by the task. The expected arguments are

  1. daytype: ‘WEEKDAY’ or ‘WEEKENDS/HOLIDAY’
  2. timeinterval: c(6,8) if we want data from 6am to 9am.

The function will also compute the sum of all trips by ‘ORIGIN_PT_CODE’ for each time interval and stored under a new field called ‘TRIPS’.

get_origin_dest <- function(daytype, timeinterval) {
  result <- odbus_aug %>%
    filter(DAY_TYPE == daytype) %>%
    filter(TIME_PER_HOUR >= timeinterval[1] & TIME_PER_HOUR <= timeinterval[2]) %>%
    group_by(ORIGIN_PT_CODE,
             DESTINATION_PT_CODE) %>%
    summarise(TRIPS = sum(TOTAL_TRIPS))
  
  return(result)
}

Let’s get the data using get_origin function

day_am <- get_origin_dest('WEEKDAY', c(6, 8))
#origin_day_pm <- get_origin('WEEKDAY', c(5, 7))
#origin_end_am <- get_origin('WEEKENDS/HOLIDAY', c(11, 13))
#origin_end_pm <- get_origin('WEEKENDS/HOLIDAY', c(4, 6))

Take a look at the weekday morning peak dataframe.

datatable(day_am,
          class = 'cell-border stripe',
          options = list(pageLength = 5))

Geospatial data

First, we will import the Bus Stop Location shapefiles into R. The output will be a sf point object with 5161 points and 3 fields. As the raw data is in WSG84 geographical coordinate system, we will convert it to EPSG 3414, the projected coordinate system for Singapore.

busstop <- st_read(dsn="data/geospatial/BusStopLocation/BusStopLocation_Jul2023", layer = "BusStop") %>% 
  st_transform(crs = 3414)
Reading layer `BusStop' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial\BusStopLocation\BusStopLocation_Jul2023' 
  using driver `ESRI Shapefile'
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21
busstop
Simple feature collection with 5161 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21 / Singapore TM
First 10 features:
   BUS_STOP_N BUS_ROOF_N             LOC_DESC                  geometry
1       22069        B06   OPP CEVA LOGISTICS POINT (13576.31 32883.65)
2       32071        B23         AFT TRACK 13 POINT (13228.59 44206.38)
3       44331        B01              BLK 239  POINT (21045.1 40242.08)
4       96081        B05 GRACE INDEPENDENT CH POINT (41603.76 35413.11)
5       11561        B05              BLK 166 POINT (24568.74 30391.85)
6       66191        B03         AFT CORFE PL POINT (30951.58 38079.61)
7       23389       B02A              PEC LTD   POINT (12476.9 32211.6)
8       54411        B02              BLK 527 POINT (30329.45 39373.92)
9       28531        B09              BLK 536 POINT (14993.31 36905.61)
10      96139        B01              BLK 148  POINT (41642.81 36513.9)

Are there any duplicates in ‘BUS_STOP_N’ in busstop?

Checking for duplicates in the ‘BUS_STOP_N’ field reveals that there are about 16 repeated bus stop numbers. Note that they have different geometry points in the simple feature busstop object above. These could be due to temporary bus stops . We should remove these duplicated bus stops number or else it will give us problems when we try to map these bus stops to a grid_id in the Traffic Analysis Zone (TAZ).

busstop %>% 
  st_drop_geometry() %>% 
  group_by(BUS_STOP_N) %>%
  filter(n()>1) %>%
  ungroup() %>% 
  arrange(BUS_STOP_N)
# A tibble: 32 × 3
   BUS_STOP_N BUS_ROOF_N LOC_DESC            
   <chr>      <chr>      <chr>               
 1 11009      B04        Ghim Moh Ter        
 2 11009      B04-TMNL   GHIM MOH TER        
 3 22501      B02        Blk 662A            
 4 22501      B02        BLK 662A            
 5 43709      B06        BLK 644             
 6 43709      B06        BLK 644             
 7 47201      UNK        <NA>                
 8 47201      NIL        W'LANDS NTH STN     
 9 51071      B21        MACRITCHIE RESERVOIR
10 51071      B21        MACRITCHIE RESERVOIR
# ℹ 22 more rows

Take for instance bus stop number 51071 with two different point geometry values.

busstop[3470,]
Simple feature collection with 1 feature and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 28311.27 ymin: 36036.92 xmax: 28311.27 ymax: 36036.92
Projected CRS: SVY21 / Singapore TM
     BUS_STOP_N BUS_ROOF_N             LOC_DESC                  geometry
3470      51071        B21 MACRITCHIE RESERVOIR POINT (28311.27 36036.92)
busstop[3472,]
Simple feature collection with 1 feature and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 28282.54 ymin: 36033.93 xmax: 28282.54 ymax: 36033.93
Projected CRS: SVY21 / Singapore TM
     BUS_STOP_N BUS_ROOF_N             LOC_DESC                  geometry
3472      51071        B21 MACRITCHIE RESERVOIR POINT (28282.54 36033.93)

Removing duplicated bus stops

busstop <- busstop %>%
  distinct(BUS_STOP_N,
           .keep_all = TRUE)

Double check again that duplicated bus stops have been removed.

busstop %>% 
  st_drop_geometry() %>% 
  group_by(BUS_STOP_N) %>%
  filter(n()>1) %>%
  ungroup() %>% 
  arrange(BUS_STOP_N)
# A tibble: 0 × 3
# ℹ 3 variables: BUS_STOP_N <chr>, BUS_ROOF_N <chr>, LOC_DESC <chr>

Further works in this exercise led me to realise that the YISHUN bus interchange is missing from the bus stop location shapefile. It has a postal code of 769100 and using the onemap geocoding function (describe in later section) will give us its SVY21 coordinates of 28314.3933093864, 45511.7310683895. The ‘BUS_STOP_N’ of Yishun Bus interchange is 59009. We will manually add them into the busstop df.

The point in black is to be added

Adding geometry of Yishun Bus Interchange into busstop sf object.

The code chunk below first creates a sf object containing only SVY21 geometry of the Yishun interchange. Next, it appends into the busstop df.

yishun <- data.frame(
  BUS_STOP_N = 59009,
  BUS_ROOF_N = NA, 
  LOC_DESC = 'YISHUN INT',
  geometry = st_sfc(st_point(c(28314.3933093864,45511.7310683895))))


yishun_sf <- st_sf(yishun, crs = 3414)

busstop <- rbind(busstop, yishun_sf)

Import the MPSZ-2019 data.

It is a multipolygon sf object with 332 features / subzones/ units.

mpsz <- st_read(dsn='data/geospatial/MPSZ-2019',
                layer='MPSZ-2019') %>% 
  st_transform(crs=3414)
Reading layer `MPSZ-2019' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial\MPSZ-2019' 
  using driver `ESRI Shapefile'
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 103.6057 ymin: 1.158699 xmax: 104.0885 ymax: 1.470775
Geodetic CRS:  WGS 84
mpsz
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 2667.538 ymin: 15748.72 xmax: 56396.44 ymax: 50256.33
Projected CRS: SVY21 / Singapore TM
First 10 features:
                 SUBZONE_N SUBZONE_C       PLN_AREA_N PLN_AREA_C       REGION_N
1              MARINA EAST    MESZ01      MARINA EAST         ME CENTRAL REGION
2         INSTITUTION HILL    RVSZ05     RIVER VALLEY         RV CENTRAL REGION
3           ROBERTSON QUAY    SRSZ01  SINGAPORE RIVER         SR CENTRAL REGION
4  JURONG ISLAND AND BUKOM    WISZ01  WESTERN ISLANDS         WI    WEST REGION
5             FORT CANNING    MUSZ02           MUSEUM         MU CENTRAL REGION
6         MARINA EAST (MP)    MPSZ05    MARINE PARADE         MP CENTRAL REGION
7                   SUDONG    WISZ03  WESTERN ISLANDS         WI    WEST REGION
8                  SEMAKAU    WISZ02  WESTERN ISLANDS         WI    WEST REGION
9           SOUTHERN GROUP    SISZ02 SOUTHERN ISLANDS         SI CENTRAL REGION
10                 SENTOSA    SISZ01 SOUTHERN ISLANDS         SI CENTRAL REGION
   REGION_C                       geometry
1        CR MULTIPOLYGON (((33222.98 29...
2        CR MULTIPOLYGON (((28481.45 30...
3        CR MULTIPOLYGON (((28087.34 30...
4        WR MULTIPOLYGON (((14557.7 304...
5        CR MULTIPOLYGON (((29542.53 31...
6        CR MULTIPOLYGON (((35279.55 30...
7        WR MULTIPOLYGON (((15772.59 21...
8        WR MULTIPOLYGON (((19843.41 21...
9        CR MULTIPOLYGON (((30870.53 22...
10       CR MULTIPOLYGON (((26879.04 26...

Creating hexagon layer

Before we can plot the base layer, we have to create hexagonal grids of 375 m (middle to edge) using the mpsz multipolygon sf object using sf.

First , create a grid which the extent equals to the bounding box of the busstop points using st_make_grid().

  1. To create hexagons of 375m (centre to edge), we should input 750 for ‘cellsize’ parameter. ‘Cellsize’ is defined as the distance from edge to edge.
  2. Convert to sf object and add a unique identifier to each hexagon grid. The output has 834 hexagon units.
  3. Use st_intersects() to count the number of in each hsubzones in each hexagon.
  4. Filter to retain only hexagons with at least one subzone. The output bs_count has 1945 hexagon units.
area_hex_grid = st_make_grid(busstop,
                             cellsize= 750, 
                             what = "polygons", 
                             square = FALSE)

hex_grid_sf = st_sf(area_hex_grid) %>%
  mutate(grid_id = 1:length(lengths(area_hex_grid)))

hex_grid_sf$num_bs = lengths(st_intersects(hex_grid_sf, busstop))


bs_count = filter(hex_grid_sf, num_bs > 0)

If we like to, we could save the above hexagon layer to disk.

st_write(bs_count, 'data/bs_count_750.shp')

Read bs_count in R

bs_count <- st_read(dsn = 'data/geospatial',
                    layer='bs_count_750')
Reading layer `bs_count_750' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 834 features and 2 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 3595.122 ymin: 26049.09 xmax: 48595.12 ymax: 53545.39
Projected CRS: SVY21 / Singapore TM

How does our hexagon layer look like?

plot(bs_count['num_bs'],
     main = 'Number of bus stops per hexagon')

We can see that each hexagon contains a minimum of 1 bus stop and up to a maximum of 19 bus stops.

Geospatial data wrangling

Combining busstop (point sf) and sz_count (polygon sf)

We have to assign a ‘grid_id’ to each bus stops.

The code chunk below performs points and hexagon polygon overlap using st_intersection() and the output will be in sf point object.

Before overlapping:

busstop : 5146 points

bs_count hexagon base layer: 834 hexagons

After overlapping:

busstop_hex : 5165 points suggesting all bus stops falls within at least one hexagon grid. This is good result because we are not losing any bus stops.

busstop_hex <- st_intersection(busstop, bs_count) %>% 
  select(BUS_STOP_N, LOC_DESC,  grid_id, num_bs)

busstop_hex
Simple feature collection with 5146 features and 4 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21 / Singapore TM
First 10 features:
     BUS_STOP_N            LOC_DESC grid_id num_bs                  geometry
3261      25059   AFT TUAS STH BLVD      23      1 POINT (3970.122 28063.28)
2565      25751 BEF TUAS STH AVE 14      44      1 POINT (4427.939 28758.67)
254       26379            YONG NAM      46      2 POINT (4473.292 30681.57)
2398      26369        SEE HUP SENG      46      2 POINT (4604.363 31212.96)
2824      25741         HALLIBURTON      66      1  POINT (5060.733 29212.4)
1714      26399  AFT TUAS VIEW CRES      67      4  POINT (5079.51 30214.42)
2822      25719           THE INDEX      67      4 POINT (4799.476 30158.46)
2823      25711       OPP THE INDEX      67      4 POINT (4831.438 30132.43)
4189      26389  BEF TUAS STH AVE 5      67      4 POINT (4776.694 30324.88)
1564      26299  BEF TUAS STH AVE 6      68      1 POINT (4879.489 31948.93)

Drop the geometry column of busstop_hex.

busstop_hex_geo <- busstop_hex
busstop_hex <- busstop_hex  %>% 
  st_drop_geometry()

datatable(busstop_hex, class = 'cell-border stripe', options = list(pageLength = 5))

Are there duplicates in busstop_hex ?

Let us check for duplicates in busstop_hex df as it will be used to perform a left join later.

The output shows that there are no duplicate rows.

busstop_hex %>%
  group_by(BUS_STOP_N, grid_id, num_bs) %>%
  filter(n()>1) %>%
  ungroup()
# A tibble: 0 × 4
# ℹ 4 variables: BUS_STOP_N <chr>, LOC_DESC <chr>, grid_id <int>, num_bs <int>

Construct an O-D matrix of commuter flows for the morning weekday peak hour

This is how a typical Origin-Destination flow table would look like:

It contains the number of trips between pairs of origin and destination hexagons.

To get the table above, perform left join between day_am and busstop_hex df twice.

First, we append the grid_id from busstop_hex data frame onto day_am data frame. By doing so, we get the fields ‘ORIGIN_GRID_ID’ and ‘ORIGIN_LOC_DESC’ (for tooltip later)from busstop_hex into day_am.

Before join:

day_am : 224,363 rows

After join:

od_data: 224,363 rows

od_data <- left_join(day_am , busstop_hex,
            by = c("ORIGIN_PT_CODE" = "BUS_STOP_N")) %>%
  rename(ORIGIN_BS = ORIGIN_PT_CODE,
         ORIGIN_GRID_ID = grid_id,
         DESTIN_BS = DESTINATION_PT_CODE,
         ORIGIN_LOC_DESC= LOC_DESC)

Check for duplicate before proceeding. There are no duplicates.

duplicate <- od_data %>%
  group_by_all() %>% 
  #group_by(ORIGIN_BS, DESTIN_BS) %>%
  filter(n()>1) %>%
  ungroup()

duplicate
# A tibble: 0 × 6
# ℹ 6 variables: ORIGIN_BS <chr>, DESTIN_BS <fct>, TRIPS <dbl>,
#   ORIGIN_LOC_DESC <chr>, ORIGIN_GRID_ID <int>, num_bs <int>

Next, perform another left join between day_am and busstop_hex df to get the ‘DESTIN_GRID_ID’ and the ‘DESTIN_LOC_DESC’ into day_am df. The number of rows before and after the left joins are the same.

od_data <- left_join(od_data, busstop_hex,
            by = c("DESTIN_BS" = "BUS_STOP_N")) %>%
  rename(DESTIN_GRID_ID = grid_id,
         DESTIN_LOC_DESC= LOC_DESC,
         num_bs_origin = num_bs.x,
         num_bs_destin = num_bs.y) 

Check for duplicates. The output shows that there are no duplicates.

duplicate <- od_data %>%
  group_by_all() %>% 
  #group_by(ORIGIN_BS, DESTIN_BS) %>%
  filter(n()>1) %>%
  ungroup()

duplicate
# A tibble: 0 × 9
# ℹ 9 variables: ORIGIN_BS <chr>, DESTIN_BS <chr>, TRIPS <dbl>,
#   ORIGIN_LOC_DESC <chr>, ORIGIN_GRID_ID <int>, num_bs_origin <int>,
#   DESTIN_LOC_DESC <chr>, DESTIN_GRID_ID <int>, num_bs_destin <int>

Final clean-up of od_data df.

The code chunk below will do the following:

  1. There are missing grid_ids for some of the origin and destination bus stop because the Bus Stops Location data uploaded by LTA in July 2023 could be more outdated than Passenger Volume by Origin Destination Bus Stops data collected in August 2023. We will drop rows with missing values.

  2. Group-by ‘ORIGIN_GRID_ID’ and ‘DESTIN_GRID_ID’ to generate a new field ‘MORNING_PEAK’ that contains the summation of all trips between each pair of i,j hexagons. (i denotes origin and j denotes destination)

  3. od_data finally has 62,807 rows.

od_data <- od_data %>%
  drop_na() %>%
  group_by(ORIGIN_GRID_ID, DESTIN_GRID_ID) %>%
  summarise(MORNING_PEAK = sum(TRIPS),
            ORIGIN_DESC = paste(unique(ORIGIN_LOC_DESC), collapse = ', '),
            DESTIN_DESC = paste(unique(DESTIN_LOC_DESC), collapse = ', ')) %>% 
  ungroup()
ORIGIN_GRID_ID DESTIN_GRID_ID MORNING_PEAK ORIGIN_DESC DESTIN_DESC
23 67 1 AFT TUAS STH BLVD THE INDEX
23 88 2 AFT TUAS STH BLVD EDGEN MURRAY
23 128 2 AFT TUAS STH BLVD AFT TUAS STH ST 7

We will not be visualising the flows at this point in time because we would like to get ‘dist’ between each hexagon for clearer visuslisation later.

Compute Distance Matrix by analytic hexagon level

First as.Spatial() will be used to convert bs_count from sf tibble data frame to SpatialPolygonsDataFrame of sp object as shown in the code chunk below. The reason for doing so is because it is faster to compute distance matrix using sp than sf package.

bs_count_sp <- as(bs_count, "Spatial")

Next, spDists() of sp package will be used to compute the Euclidean distance between the centroids of the hexagons.

spDists(x, y = x, longlat = FALSE, segments = FALSE, diagonal = FALSE)

spDists returns a full matrix of distances in the metric of the points if longlat=FALSE, or in kilometers if longlat=TRUE; it uses spDistsN1 in case points are two-dimensional. In case of spDists(x,x), it will compute all n x n distances, not the sufficient n x (n-1).

Recall that bs_count contains 834 hexagons and a 834 x 834 distance matrix dist will be created.

We will print out the first 7 rows of the distance matrix. Notice the column and row headers are not labelled by grid_id.

dist <- sp::spDists(bs_count_sp, 
                longlat = FALSE) # already projected in EPSG:3414
head(dist, n=c(7, 7))
         [,1]     [,2]     [,3]     [,4]     [,5]     [,6]     [,7]
[1,]    0.000  750.000 3269.174 1500.000 2704.163 3968.627 1299.038
[2,]  750.000    0.000 2598.076  750.000 1984.313 3269.174  750.000
[3,] 3269.174 2598.076    0.000 1984.313  750.000  750.000 2704.163
[4,] 1500.000  750.000 1984.313    0.000 1299.038 2598.076  750.000
[5,] 2704.163 1984.313  750.000 1299.038    0.000 1299.038 1984.313
[6,] 3968.627 3269.174  750.000 2598.076 1299.038    0.000 3269.174
[7,] 1299.038  750.000 2704.163  750.000 1984.313 3269.174    0.000

Labelling column and row headers of a distance matrix

First, we will create a list sorted according to the the distance matrix by grid_id.

Next we will attach grid_id to row and column for distance matrix matching ahead

grid_id_names <- bs_count$grid_id

colnames(dist) <- paste0(grid_id_names)
rownames(dist) <- paste0(grid_id_names)
dist[1:5,1:5]
         23       44       46       66       67
23    0.000  750.000 3269.174 1500.000 2704.163
44  750.000    0.000 2598.076  750.000 1984.313
46 3269.174 2598.076    0.000 1984.313  750.000
66 1500.000  750.000 1984.313    0.000 1299.038
67 2704.163 1984.313  750.000 1299.038    0.000

Pivoting distancing value by grid_id

Next, we will pivot the distance matrix into a long table by using the row and column grid_id as show in the code chunk below.

We will use the melt() function of the reshape2 package to convert wide-format data to long-format data. This function will convert wide-format data to a data frame with columns for each combination of row and column indices and their corresponding values.

To do the opposite, used cast().

matrix(1:6, nrow = 2, ncol = 3)
     [,1] [,2] [,3]
[1,]    1    3    5
[2,]    2    4    6
reshape2::melt(matrix(1:6, nrow = 2, ncol = 3)) %>% knitr::kable()
Var1 Var2 value
1 1 1
2 1 2
1 2 3
2 2 4
1 3 5
2 3 6
distPair <- reshape2::melt(dist) %>%
  rename(dist = value)
head(distPair, 10)
   Var1 Var2     dist
1    23   23    0.000
2    44   23  750.000
3    46   23 3269.174
4    66   23 1500.000
5    67   23 2704.163
6    68   23 3968.627
7    86   23 1299.038
8    87   23 2250.000
9    88   23 3436.932
10   89   23 4683.748

There are 695,556 rows in distPair due to 834P2 + 834 = 834 * 833+ 834 possible pairs of hexagon pairs. (Aka the number of possible permutations with replacement)

Three new columns generated, (1) ‘var1’, (2) ‘var2’ and (3) ‘value’ containing the distance for the corresponding hex i -hex j pair; thus rename to ‘dist’

Updating the intra-zonal distances

We will append a constant value to replace the intra-zonal distance of 0.

First, we will remove distance = 0 and find out the minimum value of the inter-zonal distance by using summary().

distPair %>%
  filter(dist > 0) %>%
  summary()
      Var1           Var2           dist      
 Min.   :  23   Min.   :  23   Min.   :  750  
 1st Qu.: 871   1st Qu.: 871   1st Qu.: 8352  
 Median :1324   Median :1324   Median :13332  
 Mean   :1269   Mean   :1269   Mean   :14162  
 3rd Qu.:1688   3rd Qu.:1688   3rd Qu.:18929  
 Max.   :2505   Max.   :2505   Max.   :44680  

The minimum inter-hexagon travel was actually 750 m (indicating travelling to adjacent hexagon). If a hexagon’s apothem is 325m (middle to edge), then the length of its long diagonal will be 750m (vertex to opposite vertex).

So we could set the intra-zonal distance to be approximately 300 m.

distPair$dist <- ifelse(distPair$dist == 0,
                        300, distPair$dist)

The code chunk below is used to rename the origin and destination fields.

distPair <- distPair %>%
  rename(ORIGIN_GRID_ID = Var1,
         DESTIN_GRID_ID = Var2)

distPair %>% head()
  ORIGIN_GRID_ID DESTIN_GRID_ID     dist
1             23             23  300.000
2             44             23  750.000
3             46             23 3269.174
4             66             23 1500.000
5             67             23 2704.163
6             68             23 3968.627
glimpse(distPair)
Rows: 695,556
Columns: 3
$ ORIGIN_GRID_ID <int> 23, 44, 46, 66, 67, 68, 86, 87, 88, 89, 90, 109, 110, 1…
$ DESTIN_GRID_ID <int> 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23,…
$ dist           <dbl> 300.000, 750.000, 3269.174, 1500.000, 2704.163, 3968.62…

Preparing flow data

In this section, our desired output is a dataframe containing number of TRIPS and distance for each origin and destination grid id.

Let us rename the od_data to call it flow_data df. flow_data has 62,807 rows.

flow_data <- od_data %>%
  group_by(ORIGIN_GRID_ID, DESTIN_GRID_ID) %>% 
  summarize(TRIPS = sum(MORNING_PEAK)) 

head(flow_data) %>%  kable()
ORIGIN_GRID_ID DESTIN_GRID_ID TRIPS
23 67 1
23 88 2
23 128 2
23 150 1
23 154 2
23 175 53

Separating intra-flow from flow_data df

The code chunk below created two new fields

‘FlowNoIntra’ is a column containing distance = 0 for intra-zonal pairs (diagonals).

‘offset’ is also created.

flow_data$FlowNoIntra <- ifelse(
  flow_data$ORIGIN_GRID_ID == flow_data$DESTIN_GRID_ID, 
  0, flow_data$TRIPS)
flow_data$offset <- ifelse(
  flow_data$ORIGIN_GRID_ID == flow_data$DESTIN_GRID_ID, 
  0.000001, 1)

Filter to keep only inter-zonal trips, removing the intra-zonal trips. After filtering, the number of rows reduced from 62,807 to 62,186 rows.

inter_zonal_flow <- flow_data %>% 
  filter(FlowNoIntra >0)
glimpse(inter_zonal_flow)
Rows: 62,186
Columns: 5
Groups: ORIGIN_GRID_ID [817]
$ ORIGIN_GRID_ID <int> 23, 23, 23, 23, 23, 23, 44, 44, 44, 46, 46, 46, 46, 46,…
$ DESTIN_GRID_ID <int> 67, 88, 128, 150, 154, 175, 88, 154, 175, 67, 111, 131,…
$ TRIPS          <dbl> 1, 2, 2, 1, 2, 53, 11, 3, 29, 3, 1, 1, 1, 52, 22, 9, 17…
$ FlowNoIntra    <dbl> 1, 2, 2, 1, 2, 53, 11, 3, 29, 3, 1, 1, 1, 52, 22, 9, 17…
$ offset         <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…

Combining passenger volume data (inter-zone) with distance value

Before we can join inter_zonal_flow and distPair, we need to convert data value type of ‘ORIGIN_SZ’ and’DESTIN_SZ’ fields of inter_zonal_flow and distPair dataframes into factor data type.

inter_zonal_flow$ORIGIN_GRID_ID  <- as.factor(inter_zonal_flow$ORIGIN_GRID_ID)
inter_zonal_flow$DESTIN_GRID_ID  <- as.factor(inter_zonal_flow$DESTIN_GRID_ID )
distPair$ORIGIN_GRID_ID  <- as.factor(distPair$ORIGIN_GRID_ID)
distPair$DESTIN_GRID_ID  <- as.factor(distPair$DESTIN_GRID_ID )

Now, left_join() of dplyr will be used to inter_zonal_flow dataframe and distPair dataframe. The output is called flow_data1.

Note

Notes:

distPair is a df containing distances for all corresponding subzone pairs (including self, default to 50m). ‘ORIGIN_GRID_ID’, ‘DESTIN_GRID_ID’, ‘dist

inter_zonal_flow is a df containing ‘ORIGIN_GRID_ID’, ‘DESTIN_GRID_ID’ and ‘TRIPS

We will now perform a left join with two sets of join keys.

The output flow_data_1 contains distance and total morning peak trips for each possible pairs of grid-ids (self included).

Before left join:

inter_zonal_flow has 62,186 rows.

distPair has 695,556 rows (is the all possible pairs out of 834 hex grid_ids, order matters and with replacement.)

After join:

flow_data1 has 62,186 rows.

inter_zonal_flow has no distance data. flow_data1 has distance data.

flow_data1 <- inter_zonal_flow %>%
  left_join (distPair,
             by = c("ORIGIN_GRID_ID" = "ORIGIN_GRID_ID",
                    "DESTIN_GRID_ID" = "DESTIN_GRID_ID"))

glimpse(flow_data1)
Rows: 62,186
Columns: 6
Groups: ORIGIN_GRID_ID [817]
$ ORIGIN_GRID_ID <fct> 23, 23, 23, 23, 23, 23, 44, 44, 44, 46, 46, 46, 46, 46,…
$ DESTIN_GRID_ID <fct> 67, 88, 128, 150, 154, 175, 88, 154, 175, 67, 111, 131,…
$ TRIPS          <dbl> 1, 2, 2, 1, 2, 53, 11, 3, 29, 3, 1, 1, 1, 52, 22, 9, 17…
$ FlowNoIntra    <dbl> 1, 2, 2, 1, 2, 53, 11, 3, 29, 3, 1, 1, 1, 52, 22, 9, 17…
$ offset         <dbl> 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1…
$ dist           <dbl> 2704.163, 3436.932, 1984.313, 2598.076, 6873.864, 7611.…

Print out the first 6 rows

head(flow_data1) %>% knitr::kable()
ORIGIN_GRID_ID DESTIN_GRID_ID TRIPS FlowNoIntra offset dist
23 67 1 1 1 2704.163
23 88 2 2 1 3436.932
23 128 2 2 1 1984.313
23 150 1 1 1 2598.076
23 154 2 2 1 6873.864
23 175 53 53 1 7611.669

Visualising the O-D flows of the weekday morning peak period

Removing intra-zonal flows

We will not plot the intra-zonal flows. The code chunk below will be used to remove intra-zonal flows. It does so by removing the flows that originate and ends in the same subzone.

Rows reduced from 62,807 to 62,186.

od_data1 <- od_data[od_data$ORIGIN_GRID_ID!=od_data$DESTIN_GRID_ID,]

Create a flowLine simple feature line object.

In this code chunk below, od2line() of stplanr package is used to create the desired lines.

od_data1 is aspatial while bs_count is geospatial data.

flowLine <- od2line(flow=flow_data1,
                    zones= bs_count,
                    zone_code= 'grid_id')

Perform a left join with od_data1 to get ‘ORIGIN_DESC’ and ‘DESTIN_DESC’ information appended into flowLine df. It will be useful for tooltip later when exploring our maps.

od_data1$ORIGIN_GRID_ID <- as.factor(od_data1$ORIGIN_GRID_ID)
od_data1$DESTIN_GRID_ID <- as.factor(od_data1$DESTIN_GRID_ID)

flowLine <- left_join(flowLine, od_data1,
                      by = c('ORIGIN_GRID_ID' = 'ORIGIN_GRID_ID',
                             'DESTIN_GRID_ID' = 'DESTIN_GRID_ID')) %>% 
  select(-c(MORNING_PEAK))

We will save flowLine to local disk

write_rds(flowLine,
          "data/rds/flowLine.rds")

Reload flowLine into R.

flowLine <- read_rds("data/rds/flowLine.rds")

flowLine contains 62,120 rows but we will only print out trips >= 5,000 in the datatable below.

datatable(flowLine %>%
            select(-c(FlowNoIntra, offset)) %>% 
            filter(TRIPS>=5000), 
          class = 'cell-border stripe', 
          options = list(pageLength = 5))

Visualisation and Discussion (in Tabset)

In this map, we have filtered trips less than 5000 to make it more manageable to analyse. Thicker line width represents more trips and the length of the lines represents the distance of each inter-hexagonal trip.

We observed that there are some bus routes that carry more passengers. Thick bands appeared at Woodlands Checkpoint area and Boon Lay area. Some routes from North to Eastern Singapore are also longer than usual.

In the next few tabs, we will perform further filtering on ‘TRIPS’ and ‘dist’ and plot interactive maps for us to get the trips details.

Show the code
tmap_mode('plot')

filtered_flowLine <- flowLine %>%
  filter(TRIPS >= 5000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

tm_shape(mpsz) +
  tm_polygons(alpha=0.3)+
              #col='black') +
#tm_shape(bs_count_filtered) +
  #tm_polygons(alpha=0.3) +
  
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale= c(1, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha= 0.3,
           col='blue') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.position = "center",
            main.title.size = 2.0,
            main.title.fontface = 'bold') +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

In this interactive map, we have filtered and retained the trips >= 15,000, irregardless of the distance of the trip.

Map Tips: Click on the flowline of your interest, it will reveal the number of trips, origin bus stop descriptions and destination bus stop descriptions.

Findings:

1) The flows with the greatest volumes were located near the Woodlands Check Point area that transported commuters across the causeway.

2) Great volumes of flows were associated with destinations at bus or train stations, suggesting that passengers take bus for further transit. This gives us a hint that presence of bus interchange / train stations could be an important explanatory factors for ‘TRIPS’ in our Spatial Interaction Model later.

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine %>%
  filter(TRIPS >= 15000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))


tm_shape(mpsz) +
  tm_polygons(alpha=0.7,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.4) +
#tm_shape(busstop_hex_geo) +
  #tm_dots(size= 0.005)+
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale=c(4,5,6,7,8,9),
           #scale= c(1, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha= 0.5,
           popup.vars=c("# Trips:"="TRIPS",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist'),
           col='yellow') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')

In order to investigate the long distance bus trips with considerable amount of trips volume, we have filtered and retain TRIPS >= 5000 and distance >= 13km. We noticed that these trips tend to connect passengers between the Northern parts of Singapore (Woodlands, Khatib and Yishun for instance) and the Eastern parts of Singapore (Tampanies, Seng Kang and Punggol for instance). Taking a look at the Singapore MRT map, it would require passengers to use at least three different ‘lines’ in order for them to commute between Eastern and Northern Singapore; maybe this is why passengers prefer to take a direct bus instead.

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine %>%
  filter(dist >= 13000,
         TRIPS >= 5000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

tm_shape(mpsz) +
  tm_polygons(alpha=0.7,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.4) +
#tm_shape(busstop_hex_geo) +
  #tm_dots(size= 0.005)+
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale=c(4,5,6,7,8,9),
           #scale= c(1, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha= 0.5,
           popup.vars=c("# Trips:"="TRIPS",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist'),
           col='yellow') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')

For our curiosity of the longest bus route, we filter all trips with distances >= 23 km irregardless of trips volume.

Some passengers were willing to take bus between Changi Airport and Woodlands Checkpoint and also between Bedok and Boon Lay.

Zoom in and click on the flowlines for details on trip volume, distance and bus stop details!

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)


filtered_flowLine <- flowLine %>%
  filter(dist >= 23000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

tm_shape(mpsz) +
  tm_polygons(alpha=0.7,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.4) +
#tm_shape(busstop_hex_geo) +
  #tm_dots(size= 0.005)+
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale=c(4,5,6,7,8,9),
           #scale= c(1, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7, 10),
           n = 6,
           alpha= 0.5,
           popup.vars=c("# Trips:"="TRIPS",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist'),
           col='yellow') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')

Preparing Origin and Destination Attributes

Importing the attractiveness and propulsive geospatial data

Geospatial dataset 1

Train_Station_Exit_Layer shapefile downloaded from LTA data mall. It contains point coordinates of station box exits. The train station exits are potentially one of the attractiveness of destinations as bus passengers could take bus to MRT stations for transfer.

train_exit <- st_read(dsn='data/geospatial',
                  layer='Train_Station_Exit_Layer') %>% 
  st_transform(crs=3414)
Reading layer `Train_Station_Exit_Layer' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 565 features and 2 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 6134.086 ymin: 27499.7 xmax: 45356.36 ymax: 47865.92
Projected CRS: SVY21

The file contains duplicated ‘stn_name’ and ‘exit_code’ fields.

train_exit %>%
  group_by(stn_name, exit_code) %>%
  filter(n()>1) %>%
  ungroup()
Simple feature collection with 17 features and 2 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 18072.23 ymin: 27512.2 xmax: 42314.55 ymax: 40853.37
Projected CRS: SVY21 / Singapore TM
# A tibble: 17 × 3
   stn_name                  exit_code            geometry
   <chr>                     <chr>             <POINT [m]>
 1 BUKIT PANJANG MRT STATION Exit A    (20054.56 40109.33)
 2 CHOA CHU KANG MRT STATION Exit D    (18084.87 40849.96)
 3 HARBOURFRONT MRT STATION  Exit A    (26569.87 27614.83)
 4 EXPO MRT STATION          Exit A    (42314.55 35278.98)
 5 HARBOURFRONT MRT STATION  Exit A     (26797.06 27512.2)
 6 CHOA CHU KANG MRT STATION Exit C    (18117.61 40853.37)
 7 CHOA CHU KANG MRT STATION Exit A    (18121.99 40819.65)
 8 BUKIT PANJANG MRT STATION Exit A    (19795.81 40301.42)
 9 UPPER CHANGI MRT STATION  Exit A    (42246.13 36002.08)
10 UPPER CHANGI MRT STATION  Exit A    (42205.19 36018.15)
11 BEDOK NORTH MRT STATION   Exit B    (37542.44 35150.99)
12 BEDOK NORTH MRT STATION   Exit B    (37550.39 35173.81)
13 BUKIT PANJANG MRT STATION Exit A     (20066.96 40082.6)
14 CHOA CHU KANG MRT STATION Exit A    (18122.31 40816.19)
15 CHOA CHU KANG MRT STATION Exit C    (18112.29 40852.68)
16 CHOA CHU KANG MRT STATION Exit D    (18072.23 40812.88)
17 EXPO MRT STATION          Exit A     (42302.73 35296.8)

Remove the duplicates and check that all duplicates are removed. 556 rows remaining.

train_exit <- train_exit %>%
  distinct(stn_name,
           exit_code,
           .keep_all = TRUE)

train_exit %>%
  group_by(stn_name, exit_code) %>%
  filter(n()>1) %>%
  ungroup()
Simple feature collection with 0 features and 2 fields
Bounding box:  xmin: NA ymin: NA xmax: NA ymax: NA
Projected CRS: SVY21 / Singapore TM
# A tibble: 0 × 3
# ℹ 3 variables: stn_name <chr>, exit_code <chr>, geometry <GEOMETRY [m]>

Count the number of station exits within each hexagon and then also, assign ‘grid_id’ to each train station exits points. The bs_count df is now enriched with number of mrt station exits information!

bs_count$train_exit_ct = lengths(st_intersects(bs_count,train_exit))
bs_count %>% arrange(desc(train_exit_ct)) %>% head()
Simple feature collection with 6 features and 3 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 27595.12 ymin: 28647.16 xmax: 30595.12 ymax: 32111.27
Projected CRS: SVY21 / Singapore TM
  grid_id num_bs train_exit_ct                       geometry
1    1370      7            13 POLYGON ((27970.12 31245.24...
2    1452     10            13 POLYGON ((29470.12 28647.16...
3    1473      8            12 POLYGON ((29845.12 29296.68...
4    1494      5            12 POLYGON ((30220.12 28647.16...
5    1495     10            10 POLYGON ((30220.12 29946.2,...
6    1474     16             9 POLYGON ((29845.12 30595.72...

Lets take a look at the train station exits points (denoted by the black dots). The red hexagons highlights the grids with more than 10 train stations exits.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$train_exit_ct >=10,]) +
  tm_polygons(alpha = 0.3,
              col='red') +
  tm_shape(train_exit) +
  tm_dots(size=0.01) +
  tm_layout(main.title = "Train exits location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Let us continue to import more origin and destination attributes data.

Geospatial dataset 2

We will import Pre-Schools Locations kml file from data.gov.sg. It is a POINT sf object. This variable is potentially one of the attractiveness of our destinations.

preschool = st_read('data/geospatial/pre-schools-location-kml.kml') %>% 
  st_transform(preschool, crs=3414)
Reading layer `PRESCHOOLS_LOCATION' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial\pre-schools-location-kml.kml' 
  using driver `KML'
Simple feature collection with 1925 features and 2 fields
Geometry type: POINT
Dimension:     XYZ
Bounding box:  xmin: 103.6824 ymin: 1.247759 xmax: 103.9897 ymax: 1.462134
z_range:       zmin: 0 zmax: 0
Geodetic CRS:  WGS 84

Count the number of preschools within each hexagon and then also, assign ‘grid_id’ to each preschool. The bs_count df is now enriched with number of preschool information!

bs_count$preschool_ct = lengths(st_intersects(bs_count,preschool))

Let us take a look at the preschool locations (denoted by the black dots). The red hexagons highlights the grids with more than 10 preschools.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$preschool_ct >= 10,]) +
  tm_polygons(alpha = 0.3,
              col='red') +
  tm_shape(preschool) +
  tm_dots(size=0.01) +
    tm_layout(main.title = "Preschool location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Geospatial dataset 3

We will import the Business shape file provided by Prof Kam. It is a POINT sf object containing information about business locations in Singapore. This variable is potentially one of the attractiveness of our destinations because passengers could take bus to work during the morning peak period.

business <- st_read(dsn='data/geospatial',
                  layer='Business') %>% 
  st_transform(crs=3414)
Reading layer `Business' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 6550 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 3669.148 ymin: 25408.41 xmax: 47034.83 ymax: 50148.54
Projected CRS: SVY21 / Singapore TM
business<- unique(business)

Count the number of businesses within each hexagon and then also, assign ‘grid_id’ to each businesses. The bs_count df is now enriched with business POI!

bs_count$business_ct = lengths(st_intersects(bs_count,business))

Let us take a look at the business locations (denoted by the black dots). The red hexagons highlights the grids with more than 50 business POI. We observe that business locations are more concentrated on the Southern parts of Singapore.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$business_ct >= 50,]) +
  tm_polygons(alpha = 0.3,
              col='red') +
  tm_shape(business) +
  tm_dots(size=0.01) +
    tm_layout(main.title = "Business location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Geospatial dataset 4

We will import the FinServ shape file provided by Prof Kam. It is a POINT sf object containing information about financial service locations (Banks / Money Changers) in Singapore. This variable is potentially one of the attractiveness of our destinations because passengers could take bus to work during the morning peak period.

finserv <- st_read(dsn='data/geospatial',
                  layer='FinServ') %>% 
  st_transform(crs=3414)
Reading layer `FinServ' from data source 
  `C:\yixin-neo\ISSS624_AGA\Take-home_Ex2\data\geospatial' using driver `ESRI Shapefile'
Simple feature collection with 3320 features and 3 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 4881.527 ymin: 25171.88 xmax: 46526.16 ymax: 49338.02
Projected CRS: SVY21 / Singapore TM
finserv<- unique(finserv)

Count the number of financial service points within each hexagon and then also, assign ‘grid_id’ to each financial service points. The bs_count df is now enriched with financial services information!

bs_count$finserv_ct = lengths(st_intersects(bs_count,finserv))

Let us take a look at the financial services locations (denoted by the black dots). The red hexagons highlights the grids with more than 50 financial services points. The financial services are most concentrated at the CBD district.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$finserv_ct >= 50,]) +
  tm_polygons(alpha = 0.3,
              col='red') +
  tm_shape(finserv) +
  tm_dots(size=0.01) +
    tm_layout(main.title = "Financial Service location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Importing the attractiveness and propulsive aspatial data

Aspatial dataset 1

Let us import the Schools general information in csv format , downloaded from School Directory and Information from data.gov.sg. It contains location (implicitly in the form of the field ‘POSTAL_CODE’) of the MOE kindergartens, Primary Schools , Secondary Schools and junior colleges. It does not contain ITEs , Polytechnics and Universities locations. There is a total of 346 records inside this csv file.

sch <- read_csv('data/aspatial/Generalinformationofschools.csv')
head(sch) %>% kable
school_name url_address address postal_code telephone_no telephone_no_2 fax_no fax_no_2 email_address mrt_desc bus_desc principal_name first_vp_name second_vp_name third_vp_name fourth_vp_name fifth_vp_name sixth_vp_name dgp_code zone_code type_code nature_code session_code mainlevel_code sap_ind autonomous_ind gifted_ind ip_ind mothertongue1_code mothertongue2_code mothertongue3_code
ADMIRALTY PRIMARY SCHOOL https://admiraltypri.moe.edu.sg/ 11 WOODLANDS CIRCLE 738907 63620598 na 63627512 na ADMIRALTY_PS@MOE.EDU.SG Admiralty Station TIBS 965, 964, 913 MR PEK WEE HAUR MDM CHUA MUI LING MDM NUR SABARIAH BTE MOHD IBRAHIM NULL NULL NULL NULL WOODLANDS NORTH GOVERNMENT SCHOOL CO-ED SCHOOL FULL DAY PRIMARY No No No No Chinese Malay Tamil
ADMIRALTY SECONDARY SCHOOL http://www.admiraltysec.moe.edu.sg 31 WOODLANDS CRESCENT 737916 63651733 63654596 63652774 na Admiralty_SS@moe.edu.sg ADMIRALTY MRT 904 MR LAM YUI- P’NG MR NG SONG LIM STEVEN MR SHEIK ALAUDIN B MOHD ISMAIL NULL NULL NULL NULL WOODLANDS NORTH GOVERNMENT SCHOOL CO-ED SCHOOL SINGLE SESSION SECONDARY No No No No Chinese Malay Tamil
AHMAD IBRAHIM PRIMARY SCHOOL http://www.ahmadibrahimpri.moe.edu.sg 10 YISHUN STREET 11 768643 67592906 na 67592927 na aips@moe.edu.sg Yishun Yishun Ring Road - 812 (white plate); Yishun Ave 2 - 169, 804, 965, 117, 883 MISS ONG LEE CHOO MADAM SULASNI BINTE ABDUL RAHMAN NULL NULL NULL NULL NULL YISHUN NORTH GOVERNMENT SCHOOL CO-ED SCHOOL SINGLE SESSION PRIMARY No No No No Chinese Malay Tamil
AHMAD IBRAHIM SECONDARY SCHOOL http://www.ahmadibrahimsec.moe.edu.sg 751 YISHUN AVENUE 7 768928 67585384 na 67557778 na aiss@moe.edu.sg CANBERRA MRT, YISHUN MRT 117, 167, 169, 800, 811, 812, 883, 856, 858, 859, 965, 969, 980 MISS TAN KE XIN MR YAO ZHIXUAN TERENCE MISS LEA SHU HUI NULL NULL NULL NULL YISHUN NORTH GOVERNMENT SCHOOL CO-ED SCHOOL SINGLE SESSION SECONDARY No No No No Chinese Malay Tamil
AI TONG SCHOOL http://www.aitong.moe.edu.sg 100 Bright Hill Drive 579646 64547672 na 64532726 na AITONG_SCH@MOE.EDU.SG Bishan MRT 410, 162, 52 MDM GOH LING LING DIANE MDM NG BEE ENG, CINDY MR YAK BENG WEI NULL NULL NULL NULL BISHAN SOUTH GOVERNMENT-AIDED SCH CO-ED SCHOOL SINGLE SESSION PRIMARY Yes No No No Chinese na na
ALEXANDRA PRIMARY SCHOOL http://alexandrapri.moe.edu.sg 2A Prince Charles Crescent 159016 62485400 na 62485409 na alexandra_ps@moe.edu.sg Redhill Station Tiong Bahru Station 51, 122, 139, 186, 970. MDM TEO CHING LING MDM NORAINI BTE MANSOOR NULL NULL NULL NULL NULL BUKIT MERAH SOUTH GOVERNMENT SCHOOL CO-ED SCHOOL SINGLE SESSION PRIMARY No No No No Chinese Malay Tamil

Next, we will load poly_ite_postal csv file that is collated by myself. It contains the postal codes of the 5 polytechnics and the 3 ITE colleges in Singapore.

ter <- read_csv('data/aspatial/poly_ite_postal.csv')
ter %>% kable
school_name postal_code
Singapore Polytechnic 139651
Republic Polytechnic 738964
Nanyang Polytechnic 569830
Temasek Polytechnic 529757
Ngee Ann Polytechnic 599489
ITE Central 567720
ITE Colleage East 486047
ITE College West 688236

Since there are only 8 records of ITEs and Polys, I have manually added these 8 records into the original Generalinformationofschools.csv above and rename it as allsch.csv

Reload the allsch.csv, which contains 354 records in total.

sch <- read_csv('data/aspatial/allsch.csv')
Geocoding the schools location

We will use the OneMap API to retrieve the longitude (X) and latitude (Y) coordinates using the ‘POSTAL_CODE’ field. First load the httr package which works in a TIDY manner.

library('httr')

OneMap API is owned by SLA. The API documentation is found here.

url <- 'https://www.onemap.gov.sg/api/common/elastic/search'

postcodes <- sch$`postal_code`

The code chunk below does the following:

  1. Initiate two empty dataframes; found to contain the results of the postal codes that are successful geocoded and not_found to contain the postal codes that are not successfully geocoded.
  2. Uses a loop to use the OneMap API for sch and ter df.
found <- data.frame()
not_found <- data.frame()


for(postcode in postcodes) {
  query <- list('searchVal' = postcode, 'returnGeom' = 'Y', 'getAddrDetails' = 'Y', 'pageNum' = '1')
  res <- GET(url, query=query)

  
  if((content(res)$found)!=0){
    found<-rbind(found, data.frame(content(res))[4:13])
  } else{
    not_found = data.frame(postcode)
  }
}

Out of the 354 records in allsch, 1 school (Zhenghua Secondary School) is unsuccessfully geocoded.

Let us merge the output of geocoding with the original allsch.csv file.

merged = merge(sch, found, by.x = 'postal_code' , by.y='results.POSTAL', all=TRUE)

Write merged into a csv file and manually add the longitude and latitude (1.3887, 103.7652 ) of Zhenghua Secondary into the csv file.

write.csv(merged, file = 'data/aspatial/schools_geocoded.csv')
write.csv(not_found, file = 'data/aspatial/not_found.csv')

After manual edit, reload the schools_geocoded.csv file in R.

sch <- read_csv('data/aspatial/schools_geocoded.csv') %>% 
  select(postal_code, school_name, results.LONGITUDE, results.LATITUDE )

Convert sch to sf point object with longitude and latitude

Convert to SVY21 Singapore Projected Coordinates System after converting to sf object.

sch_sf <- st_as_sf(sch,
                   coords = c('results.LONGITUDE','results.LATITUDE'),
                        crs=4326) %>% 
  st_transform(crs=3414)

Count the number of schools in each hexagon and assign each school to a grid_id.

bs_count$sch_ct = lengths(st_intersects(bs_count,sch_sf))
bs_count %>% arrange(desc(sch_ct)) %>% head()
Simple feature collection with 6 features and 7 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 15220.12 ymin: 31894.76 xmax: 37720.12 ymax: 42503.57
Projected CRS: SVY21 / Singapore TM
  grid_id num_bs train_exit_ct preschool_ct business_ct finserv_ct sch_ct
1     873      1             0            2           0          0      4
2    1350      4             1            2           0          1      4
3    1895     11             0            1           0          1      4
4     680      9             3            2           0          5      3
5     786     11             0            3           0          1      3
6     832     11             4           10           0         12      3
                        geometry
1 POLYGON ((18970.12 40338.51...
2 POLYGON ((27595.12 33193.8,...
3 POLYGON ((37345.12 31894.76...
4 POLYGON ((15595.12 35791.87...
5 POLYGON ((17470.12 36441.39...
6 POLYGON ((18220.12 41637.55...

Let us take a look at the map. The highest count of schools in a hexagon is 4.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count[bs_count$sch_ct>=4,]) +
  tm_polygons(alpha = 0.3,
              col = 'red') +
  tm_shape(sch_sf) +
  tm_dots() +
    tm_layout(main.title = "Schools location",
          main.title.fontface = 'bold',
          main.title.position = "center",
          main.title.size = 2,
          legend.height = 0.45, 
          legend.width = 0.35,
          frame = TRUE) + 
  tm_view(set.zoom.limits = c(11,16)) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

Aspatial dataset 2

We will now import the hdb.csv file provided by Prof Kam. The original source file is named HDB Property Information downloaded from this link, but it contains no postal code or coordinates. it contains data from Jan 1937 - Jun 2023.

The hdb.csv used in this exercise has been geocoded by Prof Kam. It contains information postal code and longitude/ latitude coordinates.

We will not be using commercial HDB property, therefore we will remove non-residential rows. The number of rows reduced from 12,442 to to 10,181.

The fields ‘total_rental_ct’ refers to the estimated number of people who stay in rented apartments, ‘total_nroom_ct’ refers to the estimated number of people staying in n-room apartment and ‘total_owner_ct’ refers to the estimated number of residents who stay in HDB property.

The reason for retaining the details of n-room count is because it is a potential proxy for income level. The multipliers for each room type (eg. 1 for 1 room, 2 for 2 rooms, 10 for 3 rooms for instance) is estimated using the HDBResidentPopulationAged15YearsandAbovebyFlatType.csv retrieved from data.gov. The bar chart below will show how the multipliers were estimated.

Show the code
ggplot(res_est, aes(x = flat_type, y = number)) +
  geom_bar(stat = "identity") +
  geom_text(aes(label = paste0(number,', ', round(number/sum(number)*100,1), '%')),
            position = position_dodge(width = 0.8), vjust= -1, size = 3.5) +
  labs(title = "Number of residents by Flat Types",
       x = "Flat Type",
       y = "Number") +
  theme(plot.title = element_text(face="bold"))

hdb <- read_csv('data/aspatial/hdb.csv') %>% 
  filter(residential == "Y") %>% 
  mutate(total_rental_ct = `1room_rental`*1 + `2room_rental`*2 + `3room_rental`*3 + `other_room_rental`*4,
         total_1room_ct = `1room_sold`,
         total_2room_ct = `2room_sold`*2,
         total_3room_ct = `3room_sold`*10,
         total_4room_ct = `4room_sold`*21,
         total_5room_ct = `5room_sold`*13,
         total_exec_ct = `exec_sold`*4,
         total_multi_ct = `multigen_sold`*13,
         total_studio_ct = `studio_apartment_sold`,
         total_owner_ct = `1room_sold`*1 + `2room_sold`*2 + `3room_sold`*10 + `4room_sold`*21 + `5room_sold`*13 + `exec_sold`*4 + `multigen_sold`*13 + `studio_apartment_sold`*1) %>% 
  select(blk_no, street, total_rental_ct, total_1room_ct, total_1room_ct,total_2room_ct,total_3room_ct,total_4room_ct,total_5room_ct,total_exec_ct,total_multi_ct, total_studio_ct,total_owner_ct, lat, lng)

Let us take a look at the first six rows of hdb df.

head(hdb) %>% kable()
blk_no street total_rental_ct total_1room_ct total_2room_ct total_3room_ct total_4room_ct total_5room_ct total_exec_ct total_multi_ct total_studio_ct total_owner_ct lat lng
1 BEACH RD 0 0 2 1380 21 26 0 0 0 1429 1.295097 103.8541
1 BEDOK STH AVE 1 0 0 0 2040 0 26 0 0 0 2066 1.320852 103.9337
1 CHAI CHEE RD 0 0 0 0 210 1196 0 0 0 1406 1.327969 103.9227
1 CHANGI VILLAGE RD 0 0 0 540 0 13 0 0 0 553 1.388610 103.9881
1 DELTA AVE 0 0 0 0 0 1248 0 0 0 1248 1.292075 103.8286
1 DOVER RD 0 0 0 1180 0 91 0 0 0 1271 1.302530 103.7833

Tranform hdb to a simply feature POINT object using st_as_sf function and transform from WSG84 to SVY21 Singapore Projected Coordinate System using st_transform() of sf package.

hdb_sf <- st_as_sf(hdb,
                   coords = c('lng','lat'),
                        crs=4326) %>% 
  st_transform(crs=3414)

hdb_sf
Simple feature collection with 10181 features and 12 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 11519.15 ymin: 28097.64 xmax: 45224.46 ymax: 48741.06
Projected CRS: SVY21 / Singapore TM
# A tibble: 10,181 × 13
   blk_no street    total_rental_ct total_1room_ct total_2room_ct total_3room_ct
 * <chr>  <chr>               <dbl>          <dbl>          <dbl>          <dbl>
 1 1      BEACH RD                0              0              2           1380
 2 1      BEDOK ST…               0              0              0           2040
 3 1      CHAI CHE…               0              0              0              0
 4 1      CHANGI V…               0              0              0            540
 5 1      DELTA AVE               0              0              0              0
 6 1      DOVER RD                0              0              0           1180
 7 1      EUNOS CR…             494              0              0              0
 8 1      EVERTON …               0              0              0            620
 9 1      GHIM MOH…               0              0              0           2160
10 1      HAIG RD                 0              0              0           2140
# ℹ 10,171 more rows
# ℹ 7 more variables: total_4room_ct <dbl>, total_5room_ct <dbl>,
#   total_exec_ct <dbl>, total_multi_ct <dbl>, total_studio_ct <dbl>,
#   total_owner_ct <dbl>, geometry <POINT [m]>

Assign a ‘grid_id’ to each observation inside the hdb_sf POINT sf object by using the st_intersection() function.

Before: hdb_sf contains 10,181 rows

After: st_intersection(): hdb_hex contains 10,133 rows. Some points in hdb_sf do not fall within bs_count basic hexagon units. This is expected as bs_count that does not have hexagons with zero bus stop counts.

hdb_hex <- st_intersection(hdb_sf,bs_count)

Drop the geometry column, and check for duplicates.

hdb_hex<- hdb_hex %>% 
  st_drop_geometry()
hdb_hex %>% 
  group_by_all() %>%
  filter(n()>1) %>%
  ungroup()
# A tibble: 0 × 19
# ℹ 19 variables: blk_no <chr>, street <chr>, total_rental_ct <dbl>,
#   total_1room_ct <dbl>, total_2room_ct <dbl>, total_3room_ct <dbl>,
#   total_4room_ct <dbl>, total_5room_ct <dbl>, total_exec_ct <dbl>,
#   total_multi_ct <dbl>, total_studio_ct <dbl>, total_owner_ct <dbl>,
#   grid_id <int>, num_bs <int>, train_exit_ct <int>, preschool_ct <int>,
#   business_ct <int>, finserv_ct <int>, sch_ct <int>

For each ‘grid_id’, sum the ‘total_rental_ct’ and ‘total_owners_ct’. After group_by, the number of rows reduced from 10,133 to 392 unique ‘grid_id

hdb_hex <- hdb_hex %>% 
  group_by(grid_id) %>% 
  summarise(hdb_rental_ct = sum(total_rental_ct),
            hdb_1room_ct = sum(total_1room_ct),
            hdb_2room_ct = sum(total_2room_ct),
            hdb_3room_ct = sum(total_3room_ct),
            hdb_4room_ct = sum(total_4room_ct),
            hdb_5room_ct = sum(total_5room_ct),
            hdb_exec_ct = sum(total_exec_ct),
            hdb_multi_ct = sum(total_multi_ct),
            hdb_studio_ct = sum(total_studio_ct),
            hdb_owner_ct = sum (total_owner_ct)) %>% 
  ungroup()

Append the HDB rental and owner counts to the bs_count df by performing a left join

bs_count <- left_join(bs_count, hdb_hex,
                      by= c('grid_id' = 'grid_id'))

bs_count<- bs_count %>% 
  mutate(hdb_rental_ct = replace_na(hdb_rental_ct, 0),
         hdb_1room_ct = replace_na(hdb_1room_ct, 0),
         hdb_2room_ct = replace_na(hdb_2room_ct, 0),
         hdb_3room_ct = replace_na(hdb_3room_ct, 0),
         hdb_4room_ct = replace_na(hdb_4room_ct, 0),
         hdb_5room_ct = replace_na(hdb_5room_ct, 0),
         hdb_exec_ct = replace_na(hdb_exec_ct, 0),
         hdb_multi_ct = replace_na(hdb_multi_ct, 0),
         hdb_studio_ct = replace_na(hdb_studio_ct, 0),
         hdb_owner_ct = replace_na(hdb_owner_ct, 0))

Let us visualise the estimated population density of Singapore residents who stays in HDB property.

Show the code
tmap_mode('plot')
tmap_options(check.and.fix = TRUE)

tm_shape(mpsz)+
  tm_polygons(alpha=0.3) +
tm_shape(bs_count) +
  tm_fill('hdb_owner_ct',
          alpha= 0.7) +
  tm_borders(col='grey') +
  tm_layout(main.title = "Population density of HDB residents 2023 by Hexagon",
            main.title.fontface = 'bold',
            main.title.position = "center",
            main.title.size = 2,
            legend.height = 0.55, 
            legend.width = 0.45,
            frame = TRUE) +
  tm_compass(type="8star", size = 2) +
  tm_scale_bar()

This rough estimation of the population density of residents staying in HDB (until June 2023) is acceptable because according to Singapore Census of Population 2020, the top four planning areas with more than 250,000 residents are Bedok, Jurong West, Tampanies and Woodlands. (see chart below). The level of intensity of the map above looks similar to the intensity of the map below, with the exception of the North_east area. The North-East region with planning areas like Punggol and Seng Kang are newer estates that are probably not captured in 2020 census.

Append all attributes to flow_data1 df

We will perform left_join() twice to get the origin and destination attributes properly appended into the flow_data1 df (currently contains only response variable ‘TRIPS’ and one explanatory variable ‘dist’) .

First, convert ‘grid_id’ in sz_count to factor format.

bs_count$grid_id <- as.factor(bs_count$grid_id)
flow_data1 <- flow_data1 %>%
  left_join(bs_count,
            by = c('ORIGIN_GRID_ID' = 'grid_id')) %>%
  rename(ORIGIN_TRAIN_EXIT_CT=train_exit_ct,
         ORIGIN_PRESCHOOL_CT=preschool_ct,
         ORIGIN_BUSINESS_CT=business_ct,
         ORIGIN_FINSERV_CT=finserv_ct,
         ORIGIN_SCH_CT=sch_ct,
         ORIGIN_RENTAL_CT=hdb_rental_ct,
         ORIGIN_1ROOM_CT=hdb_1room_ct,
         ORIGIN_2ROOM_CT=hdb_2room_ct,
         ORIGIN_3ROOM_CT=hdb_3room_ct,
         ORIGIN_4ROOM_CT=hdb_4room_ct,
         ORIGIN_5ROOM_CT=hdb_5room_ct,
         ORIGIN_EXEC_CT=hdb_exec_ct,
         ORIGIN_MULTI_CT=hdb_multi_ct,
         ORIGIN_STUDIO_CT=hdb_studio_ct,
         ORIGIN_OWNER_CT=hdb_owner_ct) %>%
  select(-c(num_bs,geometry))
flow_data1 <- flow_data1 %>%
  left_join(bs_count,
            by = c('DESTIN_GRID_ID' = 'grid_id')) %>%
  rename(DESTIN_TRAIN_EXIT_CT=train_exit_ct,
         DESTIN_PRESCHOOL_CT=preschool_ct,
         DESTIN_BUSINESS_CT=business_ct,
         DESTIN_FINSERV_CT=finserv_ct,
         DESTIN_SCH_CT=sch_ct,
         DESTIN_RENTAL_CT=hdb_rental_ct,
         DESTIN_1ROOM_CT=hdb_1room_ct,
         DESTIN_2ROOM_CT=hdb_2room_ct,
         DESTIN_3ROOM_CT=hdb_3room_ct,
         DESTIN_4ROOM_CT=hdb_4room_ct,
         DESTIN_5ROOM_CT=hdb_5room_ct,
         DESTIN_EXEC_CT=hdb_exec_ct,
         DESTIN_MULTI_CT=hdb_multi_ct,
         DESTIN_STUDIO_CT=hdb_studio_ct,
         DESTIN_OWNER_CT=hdb_owner_ct) %>%
  select(-c(num_bs, geometry))

Write flow_data1 into local disk.

write_rds(flow_data1,
          "data/rds/flow_data_tidy.rds")

Read the flow_data1 back into R

flow_data1 <- read_rds("data/rds/flow_data_tidy.rds")

Calibrating Spatial Interaction Models

Basic data exploration of flow_data1 df.

‘TRIPS’ are all positive values, its distribution is highly skewed to the right.

ggplot(data = flow_data1,
       aes(x = TRIPS)) +
  geom_histogram(color='black',size= 0.3, fill = '#DD8888') +
  labs(y= 'Count of TRIPS', x='TRIPS') +
  theme(axis.title.y=element_text(angle = 0),
        plot.title = element_text(face="bold")) +
  ggtitle('Distribution of TRIPS')

These two variables are not linearly related, suggesting that we could apply data transformation on them.

ggplot(data = flow_data1,
       aes(x = dist, # independent
           y = TRIPS)) +  #dependent
  geom_point() +
  geom_smooth(method = lm) +
  labs(y= 'TRIPS', x='dist') +
  theme(axis.title.y=element_text(angle = 0),
        plot.title = element_text(face="bold")) +
  ggtitle('Relationship between TRIPS and Distance')

ggplot(data = flow_data1,
       aes(x = log(dist),
           y = log(TRIPS))) +
  geom_point() +
  geom_smooth(method = lm) +
  labs(y= 'log(TRIPS)', x='log(dist)') +
  theme(axis.title.y=element_text(angle = 0),
        plot.title = element_text(face="bold")) +
  ggtitle('Relationship between log(TRIPS) and log(dist)')

The first choice of our regression model is the Poisson Regression in glm() function.

Why Poisson regression?

  • our target variable (TRIPS) is count-based

  • target variable can only be positive values (unlike Linear regression where positive and negative values are possible; negative TRIPS do not make sense)

  • a type of generalised linear model (GLM) used to count data

  • residuals may follow a asymmetric distribution around the mean (meaning outcomes on either sides of the mean are NOT equally likely.)

  • It means that the probability of commuting is not described by a continuous (normal) probability distribution, but a discrete probability distribution such as the Poisson distribution

It would also mean that we do not have to adhere to the assumptions of the Linear Regression Model:

  • dependent variable and predictors have linear relationship

  • residual errors (predicted - actual) are normally distributed, have a constant variance and unrelated with one another.

Check independent variables for zero values

Since we have chosen the Poisson regression, which is based on log and log 0 is undefined, it is important for us to ensure that are no 0 values in the explanatory variables.

In the code chunk below, summary() of Base R is used to compute the summary statistics of all variables in flow_data1 data frame.

summary(flow_data1)
 ORIGIN_GRID_ID  DESTIN_GRID_ID      TRIPS          FlowNoIntra     
 1960   :  290   1474   :  344   Min.   :    1.0   Min.   :    1.0  
 1477   :  288   1452   :  331   1st Qu.:    7.0   1st Qu.:    7.0  
 1474   :  278   1516   :  314   Median :   34.0   Median :   34.0  
 1496   :  272   1960   :  289   Mean   :  329.4   Mean   :  329.4  
 1623   :  267   1477   :  288   3rd Qu.:  158.0   3rd Qu.:  158.0  
 1480   :  266   1494   :  283   Max.   :75374.0   Max.   :75374.0  
 (Other):60525   (Other):60337                                      
     offset       dist       ORIGIN_TRAIN_EXIT_CT ORIGIN_PRESCHOOL_CT
 Min.   :1   Min.   :  750   Min.   : 0.000       Min.   : 0.000     
 1st Qu.:1   1st Qu.: 2704   1st Qu.: 0.000       1st Qu.: 1.000     
 Median :1   Median : 5250   Median : 0.000       Median : 3.000     
 Mean   :1   Mean   : 6236   Mean   : 1.234       Mean   : 3.363     
 3rd Qu.:1   3rd Qu.: 8649   3rd Qu.: 2.000       3rd Qu.: 5.000     
 Max.   :1   Max.   :24784   Max.   :13.000       Max.   :18.000     
                                                                     
 ORIGIN_BUSINESS_CT ORIGIN_FINSERV_CT ORIGIN_SCH_CT    ORIGIN_RENTAL_CT 
 Min.   : 0.000     Min.   :  0.000   Min.   :0.0000   Min.   :   0.00  
 1st Qu.: 0.000     1st Qu.:  1.000   1st Qu.:0.0000   1st Qu.:   0.00  
 Median : 1.000     Median :  3.000   Median :0.0000   Median :   0.00  
 Mean   : 6.363     Mean   :  7.149   Mean   :0.5761   Mean   : 197.38  
 3rd Qu.: 6.000     3rd Qu.:  8.000   3rd Qu.:1.0000   3rd Qu.:  23.25  
 Max.   :97.000     Max.   :130.000   Max.   :4.0000   Max.   :2893.00  
                                                                        
 ORIGIN_1ROOM_CT    ORIGIN_2ROOM_CT   ORIGIN_3ROOM_CT ORIGIN_4ROOM_CT
 Min.   :  0.0000   Min.   :   0.00   Min.   :    0   Min.   :    0  
 1st Qu.:  0.0000   1st Qu.:   0.00   1st Qu.:    0   1st Qu.:    0  
 Median :  0.0000   Median :   0.00   Median : 1030   Median : 6048  
 Mean   :  0.3568   Mean   :  78.21   Mean   : 4880   Mean   :15149  
 3rd Qu.:  0.0000   3rd Qu.:  44.00   3rd Qu.: 6700   3rd Qu.:25683  
 Max.   :255.0000   Max.   :4164.00   Max.   :40960   Max.   :99162  
                                                                     
 ORIGIN_5ROOM_CT ORIGIN_EXEC_CT   ORIGIN_MULTI_CT    ORIGIN_STUDIO_CT
 Min.   :    0   Min.   :   0.0   Min.   :   0.000   Min.   :  0.00  
 1st Qu.:    0   1st Qu.:   0.0   1st Qu.:   0.000   1st Qu.:  0.00  
 Median : 2119   Median :   0.0   Median :   0.000   Median :  0.00  
 Mean   : 5135   Mean   : 424.6   Mean   :   6.987   Mean   : 14.57  
 3rd Qu.: 7605   3rd Qu.: 448.0   3rd Qu.:   0.000   3rd Qu.:  0.00  
 Max.   :61945   Max.   :6776.0   Max.   :1976.000   Max.   :252.00  
                                                                     
 ORIGIN_OWNER_CT  DESTIN_TRAIN_EXIT_CT DESTIN_PRESCHOOL_CT DESTIN_BUSINESS_CT
 Min.   :     0   Min.   : 0.000       Min.   : 0.000      Min.   : 0.000    
 1st Qu.:     0   1st Qu.: 0.000       1st Qu.: 1.000      1st Qu.: 0.000    
 Median : 12883   Median : 0.000       Median : 3.000      Median : 1.000    
 Mean   : 25689   Mean   : 1.348       Mean   : 3.208      Mean   : 7.362    
 3rd Qu.: 46830   3rd Qu.: 2.000       3rd Qu.: 5.000      3rd Qu.: 6.000    
 Max.   :130585   Max.   :13.000       Max.   :18.000      Max.   :97.000    
                                                                             
 DESTIN_FINSERV_CT DESTIN_SCH_CT   DESTIN_RENTAL_CT DESTIN_1ROOM_CT   
 Min.   :  0.000   Min.   :0.000   Min.   :   0.0   Min.   :  0.0000  
 1st Qu.:  1.000   1st Qu.:0.000   1st Qu.:   0.0   1st Qu.:  0.0000  
 Median :  3.000   Median :0.000   Median :   0.0   Median :  0.0000  
 Mean   :  7.929   Mean   :0.538   Mean   : 188.8   Mean   :  0.3937  
 3rd Qu.:  9.000   3rd Qu.:1.000   3rd Qu.:  15.0   3rd Qu.:  0.0000  
 Max.   :130.000   Max.   :4.000   Max.   :2893.0   Max.   :255.0000  
                                                                      
 DESTIN_2ROOM_CT   DESTIN_3ROOM_CT DESTIN_4ROOM_CT DESTIN_5ROOM_CT
 Min.   :   0.00   Min.   :    0   Min.   :    0   Min.   :    0  
 1st Qu.:   0.00   1st Qu.:    0   1st Qu.:    0   1st Qu.:    0  
 Median :   0.00   Median :  660   Median : 4788   Median : 1092  
 Mean   :  71.86   Mean   : 4556   Mean   :13828   Mean   : 4634  
 3rd Qu.:  16.00   3rd Qu.: 6170   3rd Qu.:24171   3rd Qu.: 6877  
 Max.   :4164.00   Max.   :40960   Max.   :99162   Max.   :61945  
                                                                  
 DESTIN_EXEC_CT   DESTIN_MULTI_CT    DESTIN_STUDIO_CT DESTIN_OWNER_CT 
 Min.   :   0.0   Min.   :   0.000   Min.   :  0.00   Min.   :     0  
 1st Qu.:   0.0   1st Qu.:   0.000   1st Qu.:  0.00   1st Qu.:     0  
 Median :   0.0   Median :   0.000   Median :  0.00   Median :  9446  
 Mean   : 374.5   Mean   :   6.812   Mean   : 13.23   Mean   : 23484  
 3rd Qu.: 288.0   3rd Qu.:   0.000   3rd Qu.:  0.00   3rd Qu.: 42903  
 Max.   :6776.0   Max.   :1976.000   Max.   :252.00   Max.   :130585  
                                                                      

The print report above reveals that variables all consist of 0 values.

In view of this, code chunk below will be used to use a loop to replace zero values to 0.99 (randomly chosen value that is close to 0). The names of the fields to be transformed will be stored in ‘columns_to_transform’ variable.

columns_to_transform <- c(
"ORIGIN_TRAIN_EXIT_CT", "ORIGIN_PRESCHOOL_CT",  "ORIGIN_BUSINESS_CT",   "ORIGIN_FINSERV_CT",   "ORIGIN_SCH_CT",        "ORIGIN_RENTAL_CT", "ORIGIN_1ROOM_CT",      "ORIGIN_2ROOM_CT",      "ORIGIN_3ROOM_CT",      "ORIGIN_4ROOM_CT",      "ORIGIN_5ROOM_CT",      "ORIGIN_EXEC_CT",       "ORIGIN_MULTI_CT",      "ORIGIN_STUDIO_CT",    "ORIGIN_OWNER_CT",      "DESTIN_TRAIN_EXIT_CT", "DESTIN_PRESCHOOL_CT",  "DESTIN_BUSINESS_CT",   "DESTIN_FINSERV_CT",   "DESTIN_SCH_CT",        "DESTIN_RENTAL_CT", "DESTIN_1ROOM_CT",      "DESTIN_2ROOM_CT",      "DESTIN_3ROOM_CT",     
"DESTIN_4ROOM_CT",      "DESTIN_5ROOM_CT",      "DESTIN_EXEC_CT",       "DESTIN_MULTI_CT",      "DESTIN_STUDIO_CT",    "DESTIN_OWNER_CT"
)


for (col in columns_to_transform) {
  flow_data1[[col]] <- ifelse(flow_data1[[col]] == 0, 0.99, flow_data1[[col]])
}

The four SIMs

For modelling the weekday morning peak passenger flow , we have the following attractive and propulsive variables:

Propulsive: ‘ORIGIN_RENTAL_CT’, ‘ORIGIN_nROOM_CT’, ‘ORIGIN_OWNER_CT’

Attractive: ‘DESTIN_TRAIN_EXIT_CT’, ‘DESTIN_PRESCHOOL_CT’, ‘DESTIN_BUSINESS_CT’, ‘DESTIN_FINSERV_CT’, ‘DESTIN_SCH_CT’

Before we proceed with regression methods, lets us check for multi-collinearity for all our continuous variables.

cor_matrix <- cor(flow_data1[, c("TRIPS","ORIGIN_TRAIN_EXIT_CT", "ORIGIN_PRESCHOOL_CT","ORIGIN_BUSINESS_CT","ORIGIN_FINSERV_CT","ORIGIN_SCH_CT","ORIGIN_RENTAL_CT","ORIGIN_1ROOM_CT","ORIGIN_2ROOM_CT","ORIGIN_3ROOM_CT","ORIGIN_4ROOM_CT","ORIGIN_5ROOM_CT","ORIGIN_EXEC_CT","ORIGIN_MULTI_CT","ORIGIN_STUDIO_CT","ORIGIN_OWNER_CT", "DESTIN_TRAIN_EXIT_CT","DESTIN_PRESCHOOL_CT","DESTIN_BUSINESS_CT","DESTIN_FINSERV_CT","DESTIN_SCH_CT","DESTIN_RENTAL_CT","DESTIN_1ROOM_CT","DESTIN_2ROOM_CT","DESTIN_3ROOM_CT","DESTIN_4ROOM_CT","DESTIN_5ROOM_CT","DESTIN_EXEC_CT","DESTIN_MULTI_CT","DESTIN_STUDIO_CT","DESTIN_OWNER_CT")])

# creating correlation matrix
cor_matrix <- round(cor_matrix,2)
 
# reduce the size of correlation matrix
melted_corr_matrix <- melt(cor_matrix)
head(melted_corr_matrix)
                  Var1  Var2 value
1                TRIPS TRIPS  1.00
2 ORIGIN_TRAIN_EXIT_CT TRIPS  0.01
3  ORIGIN_PRESCHOOL_CT TRIPS  0.09
4   ORIGIN_BUSINESS_CT TRIPS -0.04
5    ORIGIN_FINSERV_CT TRIPS  0.00
6        ORIGIN_SCH_CT TRIPS  0.04
# plotting the correlation heatmap
ggplot(data = melted_corr_matrix, aes(x=Var1, y=Var2, 
                                   fill=value)) + 
geom_tile() +
geom_text(aes(Var2, Var1, label = value), 
          color = "black", size = 2.5) +
  theme(axis.text.x = element_text(angle = 90, hjust = 1))

The correlation heatmap shows that the origin and destination variable ‘OWNER_CT’ is highly corrrelated with ‘4ROOM_CT’ and ‘5ROOM_CT’. For the subsequent regression methods, we will input either ‘OWNER_CT’ or ‘4ROOM_CT’ and ‘5ROOM_CT’ variables and use the variabels that give us the better result.

The final variables selected here are based on a series of trials and errors; they are statistically significant and would produce the best R-squared results. It turned out that using ‘ORIGIN_4ROOM_CT’ and ‘ORIGIN_5ROOM_CT’ produce better results than ‘ORIGIN_OWNER_CT’.

uncSIM <- glm(formula = TRIPS ~ 
                #log(ORIGIN_TRAIN_EXIT_CT) + 
                #log(ORIGIN_PRESCHOOL_CT) +
                #log(ORIGIN_BUSINESS_CT) +
                #log(ORIGIN_FINSERV_CT) +
                #log(ORIGIN_SCH_CT) +
                log(ORIGIN_RENTAL_CT) +
                #log(ORIGIN_1ROOM_CT) +
                log(ORIGIN_2ROOM_CT) +
                log(ORIGIN_3ROOM_CT) +
                log(ORIGIN_4ROOM_CT) +
                log(ORIGIN_5ROOM_CT) +
                log(ORIGIN_EXEC_CT) +
                #log(ORIGIN_MULTI_CT) +
                log(ORIGIN_STUDIO_CT) +
                #log(ORIGIN_OWNER_CT) +
                log(DESTIN_TRAIN_EXIT_CT) +
                log(DESTIN_PRESCHOOL_CT) +
                log(DESTIN_BUSINESS_CT) +
                log(DESTIN_FINSERV_CT) +
                log(DESTIN_SCH_CT) +
                #log(DESTIN_RENTAL_CT) +
                #log(DESTIN_1ROOM_CT) +
                #log(DESTIN_2ROOM_CT) +
                #log(DESTIN_3ROOM_CT) +
                #log(DESTIN_4ROOM_CT) +
                #log(DESTIN_5ROOM_CT) +
                #log(DESTIN_EXEC_CT) +
                #log(DESTIN_MULTI_CT) +
                #log(DESTIN_STUDIO_CT) +
                #log(DESTIN_OWNER_CT) +
                log(dist),   
              family = poisson(link = "log"),
              data = flow_data1,
              na.action = na.exclude)

The final variables selected here are based on a series of trials and errors; they are statistically significant and would produce the best R-squared results.

orcSIM <- glm(formula= TRIPS ~
                ORIGIN_GRID_ID +
                log(DESTIN_TRAIN_EXIT_CT) +
                log(DESTIN_PRESCHOOL_CT) +
                log(DESTIN_BUSINESS_CT) +
                log(DESTIN_FINSERV_CT) +
                log(DESTIN_SCH_CT) +
                #log(DESTIN_RENTAL_CT) +
                #log(DESTIN_1ROOM_CT) +
                #log(DESTIN_2ROOM_CT) +
                #log(DESTIN_3ROOM_CT) +
                #log(DESTIN_4ROOM_CT) +
                #log(DESTIN_5ROOM_CT) +
                #log(DESTIN_EXEC_CT) +
                #log(DESTIN_MULTI_CT) +
                #log(DESTIN_STUDIO_CT) +
                #log(DESTIN_OWNER_CT) +
                log(dist)-1,
              family = poisson(link='log'),
              data = flow_data1,
              na.action = na.exclude)
decSIM <- glm(formula= TRIPS ~
                DESTIN_GRID_ID +
                #log(ORIGIN_TRAIN_EXIT_CT) + 
                #log(ORIGIN_PRESCHOOL_CT) +
                #log(ORIGIN_BUSINESS_CT) +
                #log(ORIGIN_FINSERV_CT) +
                #log(ORIGIN_SCH_CT) +
                log(ORIGIN_RENTAL_CT) +
                #log(ORIGIN_1ROOM_CT) +
                log(ORIGIN_2ROOM_CT) +
                log(ORIGIN_3ROOM_CT) +
                log(ORIGIN_4ROOM_CT) +
                log(ORIGIN_5ROOM_CT) +
                log(ORIGIN_EXEC_CT) +
                #log(ORIGIN_MULTI_CT) +
                log(ORIGIN_STUDIO_CT) +
                #log(ORIGIN_OWNER_CT) +
                log(dist)-1,
              family = poisson(link='log'),
              data = flow_data1,
              na.action = na.exclude)
dbcSIM <- glm(formula = TRIPS ~ 
                ORIGIN_GRID_ID + 
                DESTIN_GRID_ID + 
                log(dist),
              family = poisson(link = "log"),
              data = flow_data1,
              na.action = na.exclude)

We will save the output of the four SIMs into rds.

write_rds(uncSIM, "data/rds/uncSIM.rds")
write_rds(orcSIM, "data/rds/orcSIM.rds") 
write_rds(decSIM, "data/rds/decSIM.rds") 
write_rds(dbcSIM, "data/rds/dbcSIM.rds") 

Now reload them into R

uncSIM<- read_rds("data/rds/uncSIM.rds")
orcSIM<- read_rds( "data/rds/orcSIM.rds") 
decSIM<- read_rds( "data/rds/decSIM.rds") 
dbcSIM<- read_rds("data/rds/dbcSIM.rds") 

Results of SIMs

Unconstrained SIM output

The R-squared value of 0.25 tells us that the explanatory variables are able to explain 25% of the variance in the TRIPS target variable.

CalcRSquared <- function(observed,estimated){
  r <- cor(observed,estimated)
  R2 <- r^2
  R2
}

CalcRSquared(uncSIM$data$TRIPS, uncSIM$fitted.values)
[1] 0.2451433

Adjusted R-squared. As we increase the number of predictors, the R-square value naturally increases. Thus let us compare the adjusted R-square values instead. To do so, we write custom function:

Calc_AdjRSquared <- function(rsquared, n, p) {
  result <- 1 - (1 - rsquared) * (n - 1) / (n - p - 1)
  return(result)
}

Calc_AdjRSquared(CalcRSquared(uncSIM$data$TRIPS, uncSIM$fitted.values),
                 length(uncSIM$data$TRIPS),
                 length(uncSIM$coefficients)-1)
[1] 0.2449854

All the coefficients are statistically significant (refer to next tab). The most influential explanatory variables are distance, destination train exit count and destination school count with coefficients of -1.42, 0.44 and 0.28 respectively. This result is not surprising given the passengers would take bus to MRT stations or schools between 6am-9am on weekdays.

uncSIM$coefficients
              (Intercept)     log(ORIGIN_RENTAL_CT)      log(ORIGIN_2ROOM_CT) 
            15.5971526568             -0.0002407122              0.0102928418 
     log(ORIGIN_3ROOM_CT)      log(ORIGIN_4ROOM_CT)      log(ORIGIN_5ROOM_CT) 
             0.0032658938              0.0269209359              0.0911093596 
      log(ORIGIN_EXEC_CT)     log(ORIGIN_STUDIO_CT) log(DESTIN_TRAIN_EXIT_CT) 
             0.0688556216              0.0109136906              0.4419022283 
 log(DESTIN_PRESCHOOL_CT)   log(DESTIN_BUSINESS_CT)    log(DESTIN_FINSERV_CT) 
             0.0583179446              0.0214182768              0.1490751705 
       log(DESTIN_SCH_CT)                 log(dist) 
             0.2770801526             -1.4224527376 
length(uncSIM$coefficients)-1
[1] 13
summary(uncSIM)

Call:
glm(formula = TRIPS ~ log(ORIGIN_RENTAL_CT) + log(ORIGIN_2ROOM_CT) + 
    log(ORIGIN_3ROOM_CT) + log(ORIGIN_4ROOM_CT) + log(ORIGIN_5ROOM_CT) + 
    log(ORIGIN_EXEC_CT) + log(ORIGIN_STUDIO_CT) + log(DESTIN_TRAIN_EXIT_CT) + 
    log(DESTIN_PRESCHOOL_CT) + log(DESTIN_BUSINESS_CT) + log(DESTIN_FINSERV_CT) + 
    log(DESTIN_SCH_CT) + log(dist), family = poisson(link = "log"), 
    data = flow_data1, na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-142.80   -13.77    -7.16    -0.95   854.68  

Coefficients:
                            Estimate Std. Error   z value Pr(>|z|)    
(Intercept)                1.560e+01  2.163e-03  7211.430  < 2e-16 ***
log(ORIGIN_RENTAL_CT)     -2.407e-04  9.113e-05    -2.641  0.00826 ** 
log(ORIGIN_2ROOM_CT)       1.029e-02  1.145e-04    89.859  < 2e-16 ***
log(ORIGIN_3ROOM_CT)       3.266e-03  8.843e-05    36.931  < 2e-16 ***
log(ORIGIN_4ROOM_CT)       2.692e-02  1.786e-04   150.714  < 2e-16 ***
log(ORIGIN_5ROOM_CT)       9.111e-02  1.834e-04   496.746  < 2e-16 ***
log(ORIGIN_EXEC_CT)        6.886e-02  9.171e-05   750.762  < 2e-16 ***
log(ORIGIN_STUDIO_CT)      1.091e-02  1.404e-04    77.746  < 2e-16 ***
log(DESTIN_TRAIN_EXIT_CT)  4.419e-01  4.118e-04  1073.180  < 2e-16 ***
log(DESTIN_PRESCHOOL_CT)   5.832e-02  3.332e-04   175.046  < 2e-16 ***
log(DESTIN_BUSINESS_CT)    2.142e-02  1.890e-04   113.320  < 2e-16 ***
log(DESTIN_FINSERV_CT)     1.491e-01  2.743e-04   543.545  < 2e-16 ***
log(DESTIN_SCH_CT)         2.771e-01  7.125e-04   388.869  < 2e-16 ***
log(dist)                 -1.422e+00  2.742e-04 -5187.662  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 82068169  on 62185  degrees of freedom
Residual deviance: 41784217  on 62172  degrees of freedom
AIC: 42120350

Number of Fisher Scoring iterations: 7

Origin Constrained SIM output

The R-squared value of 0.38 tells us that the explanatory variables are able to explain 38 % of the variance in the TRIPS target variable. It has higher R-squared value than the unconstrained model because it has additional ‘knowledge’ of the origin population data.

CalcRSquared(orcSIM$data$TRIPS, orcSIM$fitted.values)
[1] 0.3800451

Adjusted R-squared

Calc_AdjRSquared(CalcRSquared(orcSIM$data$TRIPS, orcSIM$fitted.values),
                 length(orcSIM$data$TRIPS),
                 length(orcSIM$coefficients)-1)
[1] 0.3717403

All the coefficients are statistically significant (refer to next tab). The most influential explanatory variables are distance, destination train exit count and destination school count with coefficients of -1.50, 0.49 and 0.28 respectively. This result is consistent with unconstrained model.

orcSIM$coefficients[818:823]
log(DESTIN_TRAIN_EXIT_CT)  log(DESTIN_PRESCHOOL_CT)   log(DESTIN_BUSINESS_CT) 
              0.485197249               0.008831882               0.069120291 
   log(DESTIN_FINSERV_CT)        log(DESTIN_SCH_CT)                 log(dist) 
              0.242969225               0.278356732              -1.502992519 
summary(orcSIM)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + log(DESTIN_TRAIN_EXIT_CT) + 
    log(DESTIN_PRESCHOOL_CT) + log(DESTIN_BUSINESS_CT) + log(DESTIN_FINSERV_CT) + 
    log(DESTIN_SCH_CT) + log(dist) - 1, family = poisson(link = "log"), 
    data = flow_data1, na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-267.73   -11.17    -4.59     1.45   426.36  

Coefficients:
                            Estimate Std. Error   z value Pr(>|z|)    
ORIGIN_GRID_ID23          14.2200929  0.1280575   111.045   <2e-16 ***
ORIGIN_GRID_ID44          14.8773494  0.1525177    97.545   <2e-16 ***
ORIGIN_GRID_ID46          13.8195046  0.0971516   142.247   <2e-16 ***
ORIGIN_GRID_ID66          14.5589073  0.1348607   107.955   <2e-16 ***
ORIGIN_GRID_ID67          15.5853691  0.0270728   575.683   <2e-16 ***
ORIGIN_GRID_ID68          13.2469013  0.1147265   115.465   <2e-16 ***
ORIGIN_GRID_ID86          14.0994155  0.0860895   163.776   <2e-16 ***
ORIGIN_GRID_ID87          15.8502187  0.0769627   205.947   <2e-16 ***
ORIGIN_GRID_ID88          16.0143576  0.0202258   791.778   <2e-16 ***
ORIGIN_GRID_ID89          14.1173112  0.0503566   280.347   <2e-16 ***
ORIGIN_GRID_ID90          13.2364895  0.1302053   101.659   <2e-16 ***
ORIGIN_GRID_ID109         13.8645082  0.1066206   130.036   <2e-16 ***
ORIGIN_GRID_ID110         14.1227741  0.0808722   174.631   <2e-16 ***
ORIGIN_GRID_ID111         17.0031251  0.0120958  1405.706   <2e-16 ***
ORIGIN_GRID_ID112         13.4152509  0.0718260   186.774   <2e-16 ***
ORIGIN_GRID_ID128         16.4724259  0.0255197   645.479   <2e-16 ***
ORIGIN_GRID_ID129         13.6573101  0.1889958    72.262   <2e-16 ***
ORIGIN_GRID_ID130         14.5479993  0.0558517   260.476   <2e-16 ***
ORIGIN_GRID_ID131         15.3061603  0.0324626   471.501   <2e-16 ***
ORIGIN_GRID_ID132         13.9311450  0.0567438   245.510   <2e-16 ***
ORIGIN_GRID_ID133         13.9162833  0.0427279   325.696   <2e-16 ***
ORIGIN_GRID_ID134         16.1832650  0.0262282   617.018   <2e-16 ***
ORIGIN_GRID_ID150         16.7080841  0.0213182   783.746   <2e-16 ***
ORIGIN_GRID_ID151         13.5106960  0.0822248   164.314   <2e-16 ***
ORIGIN_GRID_ID152         13.3287412  0.0870623   153.094   <2e-16 ***
ORIGIN_GRID_ID153         14.4828399  0.0451304   320.911   <2e-16 ***
ORIGIN_GRID_ID154         17.0483986  0.0096079  1774.407   <2e-16 ***
ORIGIN_GRID_ID155         13.8803955  0.0396137   350.394   <2e-16 ***
ORIGIN_GRID_ID156         14.5514586  0.0549187   264.964   <2e-16 ***
ORIGIN_GRID_ID172         15.3888515  0.0668511   230.196   <2e-16 ***
ORIGIN_GRID_ID174         14.3578879  0.0481527   298.174   <2e-16 ***
ORIGIN_GRID_ID175         16.5491451  0.0106605  1552.385   <2e-16 ***
ORIGIN_GRID_ID176         17.6227860  0.0066199  2662.104   <2e-16 ***
ORIGIN_GRID_ID195         13.2614994  0.0877276   151.167   <2e-16 ***
ORIGIN_GRID_ID196         13.8758674  0.0429638   322.967   <2e-16 ***
ORIGIN_GRID_ID197         12.9278073  0.1336460    96.732   <2e-16 ***
ORIGIN_GRID_ID215         14.0445439  0.0985568   142.502   <2e-16 ***
ORIGIN_GRID_ID216         17.9910067  0.0055659  3232.377   <2e-16 ***
ORIGIN_GRID_ID217         15.2411143  0.0222760   684.195   <2e-16 ***
ORIGIN_GRID_ID237         13.5777312  0.3015201    45.031   <2e-16 ***
ORIGIN_GRID_ID238         13.5977695  0.0762790   178.264   <2e-16 ***
ORIGIN_GRID_ID239         13.8507904  0.1443544    95.950   <2e-16 ***
ORIGIN_GRID_ID257         14.1427612  0.0622922   227.039   <2e-16 ***
ORIGIN_GRID_ID258         14.8757766  0.0289278   514.237   <2e-16 ***
ORIGIN_GRID_ID259         14.6145943  0.0413278   353.626   <2e-16 ***
ORIGIN_GRID_ID278         15.6270388  0.0374807   416.936   <2e-16 ***
ORIGIN_GRID_ID279         13.5772451  0.0487796   278.338   <2e-16 ***
ORIGIN_GRID_ID280         13.9648940  0.0506163   275.897   <2e-16 ***
ORIGIN_GRID_ID298         11.2559939  0.3779699    29.780   <2e-16 ***
ORIGIN_GRID_ID299         13.6742969  0.0597962   228.682   <2e-16 ***
ORIGIN_GRID_ID300         17.0436194  0.0088221  1931.916   <2e-16 ***
ORIGIN_GRID_ID320         14.2457612  0.0520255   273.823   <2e-16 ***
ORIGIN_GRID_ID321         14.1320377  0.0803482   175.885   <2e-16 ***
ORIGIN_GRID_ID322         15.5380661  0.0411558   377.543   <2e-16 ***
ORIGIN_GRID_ID340         15.6604330  0.0311676   502.459   <2e-16 ***
ORIGIN_GRID_ID341         13.9592617  0.0504848   276.505   <2e-16 ***
ORIGIN_GRID_ID342         14.7106236  0.0428844   343.029   <2e-16 ***
ORIGIN_GRID_ID363         15.4069086  0.0400184   384.996   <2e-16 ***
ORIGIN_GRID_ID364         15.1980479  0.0275898   550.858   <2e-16 ***
ORIGIN_GRID_ID383         14.7932580  0.0338891   436.520   <2e-16 ***
ORIGIN_GRID_ID384         13.7568230  0.0526699   261.189   <2e-16 ***
ORIGIN_GRID_ID385         13.9395186  0.0700395   199.024   <2e-16 ***
ORIGIN_GRID_ID404         15.6771951  0.0306499   511.492   <2e-16 ***
ORIGIN_GRID_ID405         14.6724077  0.0562908   260.654   <2e-16 ***
ORIGIN_GRID_ID406         18.9453028  0.0032361  5854.453   <2e-16 ***
ORIGIN_GRID_ID407         14.7633362  0.0497344   296.844   <2e-16 ***
ORIGIN_GRID_ID408         15.5179225  0.0254752   609.138   <2e-16 ***
ORIGIN_GRID_ID425         13.0327961  0.1037141   125.661   <2e-16 ***
ORIGIN_GRID_ID426         14.9241514  0.0311930   478.446   <2e-16 ***
ORIGIN_GRID_ID427         13.5595934  0.0487227   278.301   <2e-16 ***
ORIGIN_GRID_ID428         13.0855450  0.1250187   104.669   <2e-16 ***
ORIGIN_GRID_ID429         16.0024308  0.0216231   740.061   <2e-16 ***
ORIGIN_GRID_ID446         14.2394718  0.0712786   199.772   <2e-16 ***
ORIGIN_GRID_ID447         14.1804770  0.0412549   343.728   <2e-16 ***
ORIGIN_GRID_ID448         14.9741053  0.0282026   530.948   <2e-16 ***
ORIGIN_GRID_ID449         17.7250244  0.0066885  2650.061   <2e-16 ***
ORIGIN_GRID_ID450         15.5961877  0.0207532   751.508   <2e-16 ***
ORIGIN_GRID_ID468         14.8986417  0.0330686   450.537   <2e-16 ***
ORIGIN_GRID_ID469         15.8704980  0.0157297  1008.951   <2e-16 ***
ORIGIN_GRID_ID470         18.0547639  0.0050231  3594.331   <2e-16 ***
ORIGIN_GRID_ID471         16.3434880  0.0176816   924.321   <2e-16 ***
ORIGIN_GRID_ID488         14.6068207  0.0593768   246.002   <2e-16 ***
ORIGIN_GRID_ID489         12.0495030  0.1690426    71.281   <2e-16 ***
ORIGIN_GRID_ID490         16.4550099  0.0127186  1293.774   <2e-16 ***
ORIGIN_GRID_ID491         16.9393951  0.0081602  2075.861   <2e-16 ***
ORIGIN_GRID_ID493         11.6305166  0.2182278    53.295   <2e-16 ***
ORIGIN_GRID_ID494         13.6055257  0.0795836   170.959   <2e-16 ***
ORIGIN_GRID_ID509         14.7735127  0.0389776   379.025   <2e-16 ***
ORIGIN_GRID_ID510         15.4066411  0.0270173   570.250   <2e-16 ***
ORIGIN_GRID_ID511         16.0319567  0.0116712  1373.636   <2e-16 ***
ORIGIN_GRID_ID512         18.5628927  0.0037248  4983.578   <2e-16 ***
ORIGIN_GRID_ID513         15.2871367  0.0277200   551.483   <2e-16 ***
ORIGIN_GRID_ID514         14.0067288  0.0557666   251.167   <2e-16 ***
ORIGIN_GRID_ID515         12.1411840  0.2236166    54.295   <2e-16 ***
ORIGIN_GRID_ID530         13.9167015  0.0905591   153.675   <2e-16 ***
ORIGIN_GRID_ID531         15.2715067  0.0205980   741.408   <2e-16 ***
ORIGIN_GRID_ID532         14.5582892  0.0272157   534.923   <2e-16 ***
ORIGIN_GRID_ID533         18.3388615  0.0037941  4833.476   <2e-16 ***
ORIGIN_GRID_ID534         18.7249699  0.0040739  4596.362   <2e-16 ***
ORIGIN_GRID_ID536         15.4078079  0.0272822   564.757   <2e-16 ***
ORIGIN_GRID_ID537         12.4233495  0.1924615    64.550   <2e-16 ***
ORIGIN_GRID_ID538         12.7581088  0.2582099    49.410   <2e-16 ***
ORIGIN_GRID_ID539         12.3530196  1.0000028    12.353   <2e-16 ***
ORIGIN_GRID_ID551         14.2804526  0.0570143   250.472   <2e-16 ***
ORIGIN_GRID_ID552         15.7590517  0.0376911   418.110   <2e-16 ***
ORIGIN_GRID_ID553         14.9998110  0.0188981   793.722   <2e-16 ***
ORIGIN_GRID_ID554         18.2952346  0.0040177  4553.603   <2e-16 ***
ORIGIN_GRID_ID555         17.5956662  0.0078365  2245.336   <2e-16 ***
ORIGIN_GRID_ID559         13.5559528  0.1066215   127.141   <2e-16 ***
ORIGIN_GRID_ID560         15.4753491  0.0568479   272.224   <2e-16 ***
ORIGIN_GRID_ID561          9.8841888  1.0000018     9.884   <2e-16 ***
ORIGIN_GRID_ID572         10.6270576  0.5773538    18.406   <2e-16 ***
ORIGIN_GRID_ID573         14.0502881  0.0477143   294.467   <2e-16 ***
ORIGIN_GRID_ID574         15.0001241  0.0383192   391.452   <2e-16 ***
ORIGIN_GRID_ID575         19.1682395  0.0028298  6773.686   <2e-16 ***
ORIGIN_GRID_ID576         17.7956535  0.0053465  3328.472   <2e-16 ***
ORIGIN_GRID_ID578         13.0787629  0.1042784   125.422   <2e-16 ***
ORIGIN_GRID_ID582         13.3431065  0.1097835   121.540   <2e-16 ***
ORIGIN_GRID_ID583         13.1309410  0.5773558    22.743   <2e-16 ***
ORIGIN_GRID_ID584         16.2945654  0.0586791   277.689   <2e-16 ***
ORIGIN_GRID_ID593         14.3197691  0.0523860   273.351   <2e-16 ***
ORIGIN_GRID_ID594         15.2977149  0.0265934   575.244   <2e-16 ***
ORIGIN_GRID_ID595         14.8217754  0.0201391   735.969   <2e-16 ***
ORIGIN_GRID_ID596         17.6225187  0.0047294  3726.153   <2e-16 ***
ORIGIN_GRID_ID597         14.4974331  0.0613516   236.301   <2e-16 ***
ORIGIN_GRID_ID603         13.4745111  0.1178703   114.316   <2e-16 ***
ORIGIN_GRID_ID604         13.9557787  0.1924670    72.510   <2e-16 ***
ORIGIN_GRID_ID615         13.5290716  0.0508748   265.929   <2e-16 ***
ORIGIN_GRID_ID616         14.5123790  0.0330688   438.853   <2e-16 ***
ORIGIN_GRID_ID617         15.3246252  0.0194368   788.432   <2e-16 ***
ORIGIN_GRID_ID618         18.1810105  0.0041814  4348.072   <2e-16 ***
ORIGIN_GRID_ID620         15.3127541  0.0323398   473.495   <2e-16 ***
ORIGIN_GRID_ID637         13.9390564  0.0455937   305.723   <2e-16 ***
ORIGIN_GRID_ID638         17.7304485  0.0045768  3874.022   <2e-16 ***
ORIGIN_GRID_ID657         15.6536101  0.0174830   895.361   <2e-16 ***
ORIGIN_GRID_ID658         16.9925627  0.0067897  2502.682   <2e-16 ***
ORIGIN_GRID_ID659         17.3224322  0.0058154  2978.736   <2e-16 ***
ORIGIN_GRID_ID660         18.2429896  0.0038417  4748.685   <2e-16 ***
ORIGIN_GRID_ID662         18.0266875  0.0072690  2479.943   <2e-16 ***
ORIGIN_GRID_ID677         15.6872554  0.0238963   656.472   <2e-16 ***
ORIGIN_GRID_ID678         13.5115872  0.0501068   269.656   <2e-16 ***
ORIGIN_GRID_ID679         18.1611849  0.0040289  4507.692   <2e-16 ***
ORIGIN_GRID_ID680         18.2134765  0.0040161  4535.123   <2e-16 ***
ORIGIN_GRID_ID681         17.2826689  0.0089347  1934.329   <2e-16 ***
ORIGIN_GRID_ID699         15.1606969  0.0239099   634.075   <2e-16 ***
ORIGIN_GRID_ID700         17.1782060  0.0065366  2627.986   <2e-16 ***
ORIGIN_GRID_ID701         17.2719093  0.0065787  2625.418   <2e-16 ***
ORIGIN_GRID_ID702         18.0977392  0.0040026  4521.522   <2e-16 ***
ORIGIN_GRID_ID704         14.8603526  0.0344483   431.381   <2e-16 ***
ORIGIN_GRID_ID722         14.9702760  0.0207373   721.901   <2e-16 ***
ORIGIN_GRID_ID725         14.4129948  0.0419766   343.358   <2e-16 ***
ORIGIN_GRID_ID741         15.7723527  0.0169648   929.710   <2e-16 ***
ORIGIN_GRID_ID743         15.5014809  0.0136331  1137.044   <2e-16 ***
ORIGIN_GRID_ID744         17.5008054  0.0051450  3401.511   <2e-16 ***
ORIGIN_GRID_ID761         15.2070425  0.0305326   498.060   <2e-16 ***
ORIGIN_GRID_ID762         17.2137581  0.0075422  2282.323   <2e-16 ***
ORIGIN_GRID_ID763         13.9913444  0.0305299   458.283   <2e-16 ***
ORIGIN_GRID_ID764         17.9692060  0.0039851  4509.048   <2e-16 ***
ORIGIN_GRID_ID765         17.2986000  0.0088438  1956.012   <2e-16 ***
ORIGIN_GRID_ID767         18.6542277  0.0041143  4534.027   <2e-16 ***
ORIGIN_GRID_ID772         13.5066020  0.0816777   165.365   <2e-16 ***
ORIGIN_GRID_ID784         14.0514561  0.0287638   488.512   <2e-16 ***
ORIGIN_GRID_ID785         17.2678330  0.0048106  3589.538   <2e-16 ***
ORIGIN_GRID_ID786         16.8103960  0.0065821  2553.946   <2e-16 ***
ORIGIN_GRID_ID787         17.4209686  0.0077253  2255.067   <2e-16 ***
ORIGIN_GRID_ID788         17.9527975  0.0057412  3127.036   <2e-16 ***
ORIGIN_GRID_ID789         16.5768595  0.0112342  1475.576   <2e-16 ***
ORIGIN_GRID_ID803         13.4317728  0.0647180   207.543   <2e-16 ***
ORIGIN_GRID_ID804         18.1138234  0.0045415  3988.513   <2e-16 ***
ORIGIN_GRID_ID805         17.9544466  0.0038886  4617.233   <2e-16 ***
ORIGIN_GRID_ID806         17.4545038  0.0047929  3641.764   <2e-16 ***
ORIGIN_GRID_ID807         18.3265221  0.0046017  3982.589   <2e-16 ***
ORIGIN_GRID_ID808         16.6402790  0.0116491  1428.461   <2e-16 ***
ORIGIN_GRID_ID809         18.1994619  0.0039140  4649.876   <2e-16 ***
ORIGIN_GRID_ID810         17.5321400  0.0061003  2873.982   <2e-16 ***
ORIGIN_GRID_ID814         15.1570231  0.0278119   544.984   <2e-16 ***
ORIGIN_GRID_ID819         19.6979432  0.0193311  1018.977   <2e-16 ***
ORIGIN_GRID_ID824         14.4409775  0.0421605   342.524   <2e-16 ***
ORIGIN_GRID_ID826         15.6344481  0.0109118  1432.799   <2e-16 ***
ORIGIN_GRID_ID827         17.7083609  0.0043220  4097.294   <2e-16 ***
ORIGIN_GRID_ID828         17.7848747  0.0042032  4231.233   <2e-16 ***
ORIGIN_GRID_ID829         17.8185853  0.0049990  3564.401   <2e-16 ***
ORIGIN_GRID_ID830         17.8986561  0.0054204  3302.121   <2e-16 ***
ORIGIN_GRID_ID831         18.6205263  0.0034085  5463.002   <2e-16 ***
ORIGIN_GRID_ID832         17.7384935  0.0068149  2602.889   <2e-16 ***
ORIGIN_GRID_ID835         15.1484249  0.0297156   509.781   <2e-16 ***
ORIGIN_GRID_ID844         13.5305171  0.0781170   173.208   <2e-16 ***
ORIGIN_GRID_ID846         17.1455242  0.0058470  2932.341   <2e-16 ***
ORIGIN_GRID_ID847         15.9272976  0.0105832  1504.957   <2e-16 ***
ORIGIN_GRID_ID848         17.2632178  0.0053057  3253.737   <2e-16 ***
ORIGIN_GRID_ID849         16.4284891  0.0082654  1987.621   <2e-16 ***
ORIGIN_GRID_ID850         17.1608405  0.0060867  2819.411   <2e-16 ***
ORIGIN_GRID_ID851         17.6746193  0.0045862  3853.840   <2e-16 ***
ORIGIN_GRID_ID852         17.1566318  0.0065653  2613.226   <2e-16 ***
ORIGIN_GRID_ID853         19.0551807  0.0040104  4751.438   <2e-16 ***
ORIGIN_GRID_ID854         15.3822454  0.0263514   583.735   <2e-16 ***
ORIGIN_GRID_ID855         14.1359635  0.0455940   310.040   <2e-16 ***
ORIGIN_GRID_ID856         15.7895069  0.0187116   843.836   <2e-16 ***
ORIGIN_GRID_ID866         15.1474251  0.0286610   528.503   <2e-16 ***
ORIGIN_GRID_ID867         15.9371008  0.0126848  1256.394   <2e-16 ***
ORIGIN_GRID_ID868         14.9376622  0.0220215   678.321   <2e-16 ***
ORIGIN_GRID_ID869         17.8714449  0.0061723  2895.415   <2e-16 ***
ORIGIN_GRID_ID870         18.2740445  0.0034911  5234.423   <2e-16 ***
ORIGIN_GRID_ID871         17.7872740  0.0063121  2817.980   <2e-16 ***
ORIGIN_GRID_ID872         15.8636017  0.0120010  1321.858   <2e-16 ***
ORIGIN_GRID_ID873         16.1296205  0.0109515  1472.825   <2e-16 ***
ORIGIN_GRID_ID874         16.5039349  0.0084781  1946.661   <2e-16 ***
ORIGIN_GRID_ID875         13.4433420  0.0697043   192.863   <2e-16 ***
ORIGIN_GRID_ID876         14.6143346  0.0315324   463.470   <2e-16 ***
ORIGIN_GRID_ID877         13.9076468  0.0429201   324.036   <2e-16 ***
ORIGIN_GRID_ID887         15.6546459  0.0143154  1093.553   <2e-16 ***
ORIGIN_GRID_ID888         16.8082236  0.0077614  2165.626   <2e-16 ***
ORIGIN_GRID_ID889         14.0273451  0.0349634   401.201   <2e-16 ***
ORIGIN_GRID_ID890         17.8494567  0.0041511  4299.905   <2e-16 ***
ORIGIN_GRID_ID891         16.6345149  0.0117708  1413.201   <2e-16 ***
ORIGIN_GRID_ID893         17.7054494  0.0044350  3992.217   <2e-16 ***
ORIGIN_GRID_ID894         16.0230709  0.0109691  1460.750   <2e-16 ***
ORIGIN_GRID_ID895         15.6534113  0.0158552   987.273   <2e-16 ***
ORIGIN_GRID_ID896         14.7239162  0.0312801   470.712   <2e-16 ***
ORIGIN_GRID_ID897         12.8666193  0.0749787   171.604   <2e-16 ***
ORIGIN_GRID_ID898         14.7804935  0.0332679   444.287   <2e-16 ***
ORIGIN_GRID_ID908         16.8585123  0.0129534  1301.478   <2e-16 ***
ORIGIN_GRID_ID909         16.8796365  0.0063487  2658.750   <2e-16 ***
ORIGIN_GRID_ID910         15.0778799  0.0173956   866.764   <2e-16 ***
ORIGIN_GRID_ID911         16.2787506  0.0095588  1703.004   <2e-16 ***
ORIGIN_GRID_ID912         17.5412506  0.0047235  3713.652   <2e-16 ***
ORIGIN_GRID_ID915         17.6481219  0.0047351  3727.080   <2e-16 ***
ORIGIN_GRID_ID917         17.2229237  0.0074934  2298.419   <2e-16 ***
ORIGIN_GRID_ID918         13.6913995  0.0418260   327.342   <2e-16 ***
ORIGIN_GRID_ID919         16.9753726  0.0092869  1827.892   <2e-16 ***
ORIGIN_GRID_ID928         15.9678174  0.0151905  1051.174   <2e-16 ***
ORIGIN_GRID_ID929         17.3678780  0.0049527  3506.729   <2e-16 ***
ORIGIN_GRID_ID930         18.0382177  0.0035574  5070.565   <2e-16 ***
ORIGIN_GRID_ID931         15.1287892  0.0183768   823.257   <2e-16 ***
ORIGIN_GRID_ID932         15.6665882  0.0185216   845.854   <2e-16 ***
ORIGIN_GRID_ID933         17.3315569  0.0060974  2842.468   <2e-16 ***
ORIGIN_GRID_ID934         14.8182707  0.0203755   727.259   <2e-16 ***
ORIGIN_GRID_ID935         18.4370714  0.0035071  5257.129   <2e-16 ***
ORIGIN_GRID_ID938         11.5020913  0.2773571    41.470   <2e-16 ***
ORIGIN_GRID_ID939         18.3863913  0.0042878  4288.032   <2e-16 ***
ORIGIN_GRID_ID940         13.1559924  0.0945126   139.198   <2e-16 ***
ORIGIN_GRID_ID949         15.6660174  0.0148756  1053.139   <2e-16 ***
ORIGIN_GRID_ID950         17.6562261  0.0054390  3246.239   <2e-16 ***
ORIGIN_GRID_ID951         18.5261277  0.0032242  5745.900   <2e-16 ***
ORIGIN_GRID_ID952         15.4816531  0.0225691   685.968   <2e-16 ***
ORIGIN_GRID_ID953         16.3839347  0.0103671  1580.376   <2e-16 ***
ORIGIN_GRID_ID954         14.9055815  0.0184790   806.622   <2e-16 ***
ORIGIN_GRID_ID955         17.1273035  0.0061617  2779.647   <2e-16 ***
ORIGIN_GRID_ID956         15.6224924  0.0124210  1257.744   <2e-16 ***
ORIGIN_GRID_ID957         17.5722485  0.0060461  2906.366   <2e-16 ***
ORIGIN_GRID_ID959         14.5068616  0.0535667   270.819   <2e-16 ***
ORIGIN_GRID_ID961         14.0562882  0.0357931   392.709   <2e-16 ***
ORIGIN_GRID_ID962         20.1978055  0.0052993  3811.396   <2e-16 ***
ORIGIN_GRID_ID970         16.2844053  0.0087361  1864.029   <2e-16 ***
ORIGIN_GRID_ID971         17.4793330  0.0042982  4066.684   <2e-16 ***
ORIGIN_GRID_ID972         17.3646294  0.0051041  3402.081   <2e-16 ***
ORIGIN_GRID_ID974         16.6330571  0.0079739  2085.946   <2e-16 ***
ORIGIN_GRID_ID975         16.2701544  0.0095329  1706.739   <2e-16 ***
ORIGIN_GRID_ID976         15.0189726  0.0175463   855.961   <2e-16 ***
ORIGIN_GRID_ID977         18.0277694  0.0040876  4410.337   <2e-16 ***
ORIGIN_GRID_ID978         17.6873262  0.0072571  2437.230   <2e-16 ***
ORIGIN_GRID_ID982         15.3531192  0.0168693   910.124   <2e-16 ***
ORIGIN_GRID_ID983         19.5867595  0.0040807  4799.837   <2e-16 ***
ORIGIN_GRID_ID984         20.7957469  0.0041999  4951.479   <2e-16 ***
ORIGIN_GRID_ID991         16.1460381  0.0099338  1625.362   <2e-16 ***
ORIGIN_GRID_ID992         16.6036021  0.0073918  2246.207   <2e-16 ***
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ORIGIN_GRID_ID994         15.6699358  0.0120241  1303.213   <2e-16 ***
ORIGIN_GRID_ID995         17.0164813  0.0061122  2784.040   <2e-16 ***
ORIGIN_GRID_ID996         16.5426602  0.0083526  1980.534   <2e-16 ***
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ORIGIN_GRID_ID998         18.1101908  0.0042654  4245.804   <2e-16 ***
ORIGIN_GRID_ID999         17.9714589  0.0059356  3027.725   <2e-16 ***
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ORIGIN_GRID_ID1003        17.9697806  0.0046402  3872.613   <2e-16 ***
ORIGIN_GRID_ID1004        18.8595012  0.0034248  5506.721   <2e-16 ***
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ORIGIN_GRID_ID1012        14.0257284  0.0418280   335.319   <2e-16 ***
ORIGIN_GRID_ID1013        14.8336225  0.0190702   777.841   <2e-16 ***
ORIGIN_GRID_ID1014        15.5960662  0.0120031  1299.342   <2e-16 ***
ORIGIN_GRID_ID1015        14.9026025  0.0188414   790.950   <2e-16 ***
ORIGIN_GRID_ID1016        16.4992166  0.0082043  2011.047   <2e-16 ***
ORIGIN_GRID_ID1018        17.1066524  0.0101743  1681.361   <2e-16 ***
ORIGIN_GRID_ID1019        18.3928502  0.0050625  3633.132   <2e-16 ***
ORIGIN_GRID_ID1023        17.0444361  0.0096708  1762.469   <2e-16 ***
ORIGIN_GRID_ID1024        18.0553463  0.0047538  3798.080   <2e-16 ***
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ORIGIN_GRID_ID1035        17.0774339  0.0058677  2910.407   <2e-16 ***
ORIGIN_GRID_ID1036        14.8456376  0.0183631   808.448   <2e-16 ***
ORIGIN_GRID_ID1037        16.2633033  0.0079963  2033.865   <2e-16 ***
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ORIGIN_GRID_ID1045        17.7343330  0.0048181  3680.785   <2e-16 ***
ORIGIN_GRID_ID1046        17.7374926  0.0054806  3236.409   <2e-16 ***
ORIGIN_GRID_ID1053        17.0199761  0.0063260  2690.485   <2e-16 ***
ORIGIN_GRID_ID1054        16.0164744  0.0094599  1693.090   <2e-16 ***
ORIGIN_GRID_ID1055        17.0614253  0.0056949  2995.897   <2e-16 ***
ORIGIN_GRID_ID1056        15.9233262  0.0101836  1563.622   <2e-16 ***
ORIGIN_GRID_ID1064        12.5917486  0.2582092    48.766   <2e-16 ***
ORIGIN_GRID_ID1066        17.5567013  0.0053851  3260.235   <2e-16 ***
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ORIGIN_GRID_ID1075        15.7522686  0.0122210  1288.948   <2e-16 ***
ORIGIN_GRID_ID1076        15.7865306  0.0095241  1657.537   <2e-16 ***
ORIGIN_GRID_ID1077        15.7828736  0.0113655  1388.660   <2e-16 ***
ORIGIN_GRID_ID1079        17.0907666  0.0060327  2833.004   <2e-16 ***
ORIGIN_GRID_ID1085        12.7840080  0.1796174    71.174   <2e-16 ***
ORIGIN_GRID_ID1087        17.6544277  0.0060722  2907.396   <2e-16 ***
ORIGIN_GRID_ID1088        16.1516857  0.0125799  1283.923   <2e-16 ***
ORIGIN_GRID_ID1094        14.5659607  0.0496817   293.186   <2e-16 ***
ORIGIN_GRID_ID1095        14.0157361  0.0442386   316.821   <2e-16 ***
ORIGIN_GRID_ID1096        15.4736247  0.0225897   684.987   <2e-16 ***
ORIGIN_GRID_ID1097        17.5133601  0.0042363  4134.154   <2e-16 ***
ORIGIN_GRID_ID1098        14.9046423  0.0200644   742.840   <2e-16 ***
ORIGIN_GRID_ID1099        16.5233876  0.0075391  2191.692   <2e-16 ***
ORIGIN_GRID_ID1105        13.9510800  0.0795871   175.293   <2e-16 ***
ORIGIN_GRID_ID1106        12.9356360  0.1139795   113.491   <2e-16 ***
ORIGIN_GRID_ID1107        15.1745358  0.0309138   490.866   <2e-16 ***
ORIGIN_GRID_ID1108        19.1717599  0.0029367  6528.395   <2e-16 ***
ORIGIN_GRID_ID1109        14.8678325  0.0278891   533.106   <2e-16 ***
ORIGIN_GRID_ID1116        16.2507233  0.0095266  1705.820   <2e-16 ***
ORIGIN_GRID_ID1117        14.2734024  0.0230064   620.410   <2e-16 ***
ORIGIN_GRID_ID1118        14.6789615  0.0206814   709.767   <2e-16 ***
ORIGIN_GRID_ID1119        15.5153846  0.0114480  1355.295   <2e-16 ***
ORIGIN_GRID_ID1120        15.4802408  0.0147874  1046.853   <2e-16 ***
ORIGIN_GRID_ID1129        17.9245985  0.0049726  3604.673   <2e-16 ***
ORIGIN_GRID_ID1130        18.1989092  0.0042391  4293.142   <2e-16 ***
ORIGIN_GRID_ID1131        16.0290645  0.0169706   944.517   <2e-16 ***
ORIGIN_GRID_ID1136        15.2310849  0.0157867   964.807   <2e-16 ***
ORIGIN_GRID_ID1138        13.7232249  0.0406404   337.674   <2e-16 ***
ORIGIN_GRID_ID1139        16.7272040  0.0058320  2868.156   <2e-16 ***
ORIGIN_GRID_ID1141        16.7281825  0.0069989  2390.131   <2e-16 ***
ORIGIN_GRID_ID1148        14.7396733  0.0499924   294.838   <2e-16 ***
ORIGIN_GRID_ID1149        15.6461485  0.0201107   778.002   <2e-16 ***
ORIGIN_GRID_ID1150        18.2399551  0.0039128  4661.557   <2e-16 ***
ORIGIN_GRID_ID1151        17.3088365  0.0068372  2531.560   <2e-16 ***
ORIGIN_GRID_ID1158        15.3506973  0.0127791  1201.230   <2e-16 ***
ORIGIN_GRID_ID1159        16.5692201  0.0063669  2602.416   <2e-16 ***
ORIGIN_GRID_ID1160        17.4246870  0.0043277  4026.298   <2e-16 ***
ORIGIN_GRID_ID1171        18.3789546  0.0041804  4396.484   <2e-16 ***
ORIGIN_GRID_ID1172        18.2963243  0.0041181  4442.899   <2e-16 ***
ORIGIN_GRID_ID1173        16.0122769  0.0136232  1175.364   <2e-16 ***
ORIGIN_GRID_ID1174        12.4066111  0.2582064    48.049   <2e-16 ***
ORIGIN_GRID_ID1178        15.4326560  0.0120576  1279.914   <2e-16 ***
ORIGIN_GRID_ID1179        16.0878638  0.0080337  2002.544   <2e-16 ***
ORIGIN_GRID_ID1180        17.0365646  0.0049941  3411.353   <2e-16 ***
ORIGIN_GRID_ID1181        16.1821157  0.0074355  2176.341   <2e-16 ***
ORIGIN_GRID_ID1183        15.2170167  0.0145912  1042.891   <2e-16 ***
ORIGIN_GRID_ID1190        14.5800188  0.0506212   288.022   <2e-16 ***
ORIGIN_GRID_ID1192        17.5628076  0.0067421  2604.944   <2e-16 ***
ORIGIN_GRID_ID1193        17.5578804  0.0056373  3114.602   <2e-16 ***
ORIGIN_GRID_ID1194        15.7871603  0.0156002  1011.984   <2e-16 ***
ORIGIN_GRID_ID1200        16.4215535  0.0074848  2193.992   <2e-16 ***
ORIGIN_GRID_ID1201        16.0664886  0.0081828  1963.450   <2e-16 ***
ORIGIN_GRID_ID1203        16.6043447  0.0066573  2494.169   <2e-16 ***
ORIGIN_GRID_ID1204        16.6187548  0.0070880  2344.628   <2e-16 ***
ORIGIN_GRID_ID1211        12.3740964  0.2182280    56.703   <2e-16 ***
ORIGIN_GRID_ID1214        18.1543653  0.0044106  4116.077   <2e-16 ***
ORIGIN_GRID_ID1215        14.8770658  0.0443757   335.253   <2e-16 ***
ORIGIN_GRID_ID1216        14.2317674  0.0432843   328.797   <2e-16 ***
ORIGIN_GRID_ID1220        17.2621215  0.0049216  3507.432   <2e-16 ***
ORIGIN_GRID_ID1221        16.8862886  0.0052564  3212.541   <2e-16 ***
ORIGIN_GRID_ID1222        16.5448447  0.0107656  1536.825   <2e-16 ***
ORIGIN_GRID_ID1223        14.5905357  0.0192665   757.302   <2e-16 ***
ORIGIN_GRID_ID1224        15.4244634  0.0119941  1286.009   <2e-16 ***
ORIGIN_GRID_ID1231        12.0690408  0.2000108    60.342   <2e-16 ***
ORIGIN_GRID_ID1232        14.1555283  0.0891177   158.841   <2e-16 ***
ORIGIN_GRID_ID1235        15.6422815  0.0143979  1086.426   <2e-16 ***
ORIGIN_GRID_ID1236        15.8660884  0.0153283  1035.086   <2e-16 ***
ORIGIN_GRID_ID1241        15.4722831  0.0117752  1313.968   <2e-16 ***
ORIGIN_GRID_ID1242        16.2461320  0.0076320  2128.686   <2e-16 ***
ORIGIN_GRID_ID1243        16.6698018  0.0056970  2926.046   <2e-16 ***
ORIGIN_GRID_ID1246        15.6218458  0.0105761  1477.091   <2e-16 ***
ORIGIN_GRID_ID1256        17.0277594  0.0077283  2203.287   <2e-16 ***
ORIGIN_GRID_ID1257        17.9854862  0.0055250  3255.317   <2e-16 ***
ORIGIN_GRID_ID1258        15.9883023  0.0149454  1069.783   <2e-16 ***
ORIGIN_GRID_ID1262        15.9910899  0.0092275  1732.978   <2e-16 ***
ORIGIN_GRID_ID1263        16.3458119  0.0063721  2565.216   <2e-16 ***
ORIGIN_GRID_ID1264        15.2188566  0.0143160  1063.064   <2e-16 ***
ORIGIN_GRID_ID1265        14.6222890  0.0182092   803.014   <2e-16 ***
ORIGIN_GRID_ID1266        16.3761974  0.0083714  1956.219   <2e-16 ***
ORIGIN_GRID_ID1267        14.3009355  0.0332085   430.641   <2e-16 ***
ORIGIN_GRID_ID1272        11.9896899  0.1474565    81.310   <2e-16 ***
ORIGIN_GRID_ID1273        15.9803214  0.0133104  1200.586   <2e-16 ***
ORIGIN_GRID_ID1277        17.9062710  0.0044699  4005.968   <2e-16 ***
ORIGIN_GRID_ID1278        15.5812797  0.0149164  1044.576   <2e-16 ***
ORIGIN_GRID_ID1283        17.4446641  0.0046821  3725.797   <2e-16 ***
ORIGIN_GRID_ID1284        16.8086069  0.0055098  3050.679   <2e-16 ***
ORIGIN_GRID_ID1285        17.4702477  0.0041454  4214.388   <2e-16 ***
ORIGIN_GRID_ID1286        15.5776432  0.0121709  1279.911   <2e-16 ***
ORIGIN_GRID_ID1289        13.7994168  0.0543597   253.854   <2e-16 ***
ORIGIN_GRID_ID1293        13.4586331  0.0822283   163.674   <2e-16 ***
ORIGIN_GRID_ID1294        17.5871213  0.0065484  2685.703   <2e-16 ***
ORIGIN_GRID_ID1295        15.1049466  0.0227169   664.922   <2e-16 ***
ORIGIN_GRID_ID1298        16.9157069  0.0072282  2340.230   <2e-16 ***
ORIGIN_GRID_ID1299        17.5725887  0.0064170  2738.455   <2e-16 ***
ORIGIN_GRID_ID1304        17.4178678  0.0044739  3893.230   <2e-16 ***
ORIGIN_GRID_ID1305        16.8050253  0.0048855  3439.792   <2e-16 ***
ORIGIN_GRID_ID1307        12.7217459  0.0534175   238.157   <2e-16 ***
ORIGIN_GRID_ID1308        16.4639058  0.0071123  2314.841   <2e-16 ***
ORIGIN_GRID_ID1310        11.8155081  0.2357131    50.127   <2e-16 ***
ORIGIN_GRID_ID1316        14.1383466  0.0364607   387.770   <2e-16 ***
ORIGIN_GRID_ID1317        15.9689605  0.0121845  1310.594   <2e-16 ***
ORIGIN_GRID_ID1318        15.3193648  0.0168643   908.391   <2e-16 ***
ORIGIN_GRID_ID1319        18.1380096  0.0042770  4240.776   <2e-16 ***
ORIGIN_GRID_ID1320        16.9211203  0.0092026  1838.732   <2e-16 ***
ORIGIN_GRID_ID1325        15.0667578  0.0137205  1098.117   <2e-16 ***
ORIGIN_GRID_ID1326        16.9710384  0.0047439  3577.448   <2e-16 ***
ORIGIN_GRID_ID1327        16.5970681  0.0053634  3094.527   <2e-16 ***
ORIGIN_GRID_ID1328        15.0920619  0.0112584  1340.520   <2e-16 ***
ORIGIN_GRID_ID1329        15.5270978  0.0132027  1176.059   <2e-16 ***
ORIGIN_GRID_ID1330        16.3441646  0.0091500  1786.244   <2e-16 ***
ORIGIN_GRID_ID1331        11.2774514  0.3333400    33.832   <2e-16 ***
ORIGIN_GRID_ID1333        15.5767295  0.0134258  1160.212   <2e-16 ***
ORIGIN_GRID_ID1334        15.8653827  0.0124672  1272.569   <2e-16 ***
ORIGIN_GRID_ID1335        15.3583687  0.0181466   846.351   <2e-16 ***
ORIGIN_GRID_ID1336        12.9351289  0.1386957    93.263   <2e-16 ***
ORIGIN_GRID_ID1337        13.3952722  0.0577800   231.832   <2e-16 ***
ORIGIN_GRID_ID1338        12.0992376  0.1139800   106.152   <2e-16 ***
ORIGIN_GRID_ID1339        17.9952000  0.0042708  4213.511   <2e-16 ***
ORIGIN_GRID_ID1340        16.5397188  0.0093550  1768.009   <2e-16 ***
ORIGIN_GRID_ID1341        13.6458603  0.2236186    61.023   <2e-16 ***
ORIGIN_GRID_ID1346        16.4290794  0.0071493  2297.997   <2e-16 ***
ORIGIN_GRID_ID1347        17.3804474  0.0041089  4229.903   <2e-16 ***
ORIGIN_GRID_ID1348        15.6441681  0.0074569  2097.945   <2e-16 ***
ORIGIN_GRID_ID1349        15.4615685  0.0096995  1594.066   <2e-16 ***
ORIGIN_GRID_ID1350        15.8918094  0.0118204  1344.438   <2e-16 ***
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ORIGIN_GRID_ID1354        15.3934157  0.0138996  1107.473   <2e-16 ***
ORIGIN_GRID_ID1355        16.2859104  0.0092225  1765.888   <2e-16 ***
ORIGIN_GRID_ID1357        15.3877351  0.0206815   744.034   <2e-16 ***
ORIGIN_GRID_ID1358        16.6824396  0.0079560  2096.832   <2e-16 ***
ORIGIN_GRID_ID1359        17.2205767  0.0057349  3002.793   <2e-16 ***
ORIGIN_GRID_ID1360        17.3891868  0.0057374  3030.868   <2e-16 ***
ORIGIN_GRID_ID1361        18.3130984  0.0043931  4168.584   <2e-16 ***
ORIGIN_GRID_ID1362        14.7058133  0.0415457   353.967   <2e-16 ***
ORIGIN_GRID_ID1368        15.2543363  0.0097261  1568.398   <2e-16 ***
ORIGIN_GRID_ID1369        14.9731665  0.0105263  1422.451   <2e-16 ***
ORIGIN_GRID_ID1370        16.2418214  0.0059232  2742.081   <2e-16 ***
ORIGIN_GRID_ID1371        15.6375231  0.0112644  1388.220   <2e-16 ***
ORIGIN_GRID_ID1372        15.3358945  0.0140121  1094.471   <2e-16 ***
ORIGIN_GRID_ID1373        13.2959808  0.0526799   252.392   <2e-16 ***
ORIGIN_GRID_ID1374        15.1632552  0.0130053  1165.929   <2e-16 ***
ORIGIN_GRID_ID1375        16.6517057  0.0084499  1970.636   <2e-16 ***
ORIGIN_GRID_ID1376        15.9954156  0.0138788  1152.509   <2e-16 ***
ORIGIN_GRID_ID1379        14.5088421  0.0363143   399.535   <2e-16 ***
ORIGIN_GRID_ID1380        18.2722280  0.0036320  5030.967   <2e-16 ***
ORIGIN_GRID_ID1381        17.9369000  0.0042108  4259.775   <2e-16 ***
ORIGIN_GRID_ID1382        17.5029728  0.0066670  2625.297   <2e-16 ***
ORIGIN_GRID_ID1383        15.0435481  0.0257339   584.582   <2e-16 ***
ORIGIN_GRID_ID1388        15.7440556  0.0076949  2046.039   <2e-16 ***
ORIGIN_GRID_ID1389        14.4203036  0.0128165  1125.132   <2e-16 ***
ORIGIN_GRID_ID1390        15.5149979  0.0079036  1963.032   <2e-16 ***
ORIGIN_GRID_ID1391        15.5800550  0.0086888  1793.120   <2e-16 ***
ORIGIN_GRID_ID1392        15.0396610  0.0190153   790.923   <2e-16 ***
ORIGIN_GRID_ID1393        14.6170745  0.0164642   887.808   <2e-16 ***
ORIGIN_GRID_ID1394        15.8902528  0.0084544  1879.515   <2e-16 ***
ORIGIN_GRID_ID1395        15.9483686  0.0083704  1905.333   <2e-16 ***
ORIGIN_GRID_ID1396        17.1110313  0.0055940  3058.802   <2e-16 ***
ORIGIN_GRID_ID1397        17.1751150  0.0057076  3009.181   <2e-16 ***
ORIGIN_GRID_ID1398        16.2253024  0.0118603  1368.035   <2e-16 ***
ORIGIN_GRID_ID1400        17.4748729  0.0067693  2581.487   <2e-16 ***
ORIGIN_GRID_ID1401        18.4073734  0.0033953  5421.480   <2e-16 ***
ORIGIN_GRID_ID1402        17.8354295  0.0047466  3757.542   <2e-16 ***
ORIGIN_GRID_ID1404        17.4058257  0.0157229  1107.037   <2e-16 ***
ORIGIN_GRID_ID1410        15.2052646  0.0088393  1720.185   <2e-16 ***
ORIGIN_GRID_ID1411        15.1204333  0.0091374  1654.780   <2e-16 ***
ORIGIN_GRID_ID1412        15.4893578  0.0074622  2075.718   <2e-16 ***
ORIGIN_GRID_ID1413        16.4896954  0.0058052  2840.517   <2e-16 ***
ORIGIN_GRID_ID1414        16.0241887  0.0071907  2228.473   <2e-16 ***
ORIGIN_GRID_ID1415        15.5672804  0.0102841  1513.726   <2e-16 ***
ORIGIN_GRID_ID1416        16.2551553  0.0076054  2137.311   <2e-16 ***
ORIGIN_GRID_ID1417        16.2542055  0.0072641  2237.616   <2e-16 ***
ORIGIN_GRID_ID1418        17.1548078  0.0053566  3202.556   <2e-16 ***
ORIGIN_GRID_ID1419        16.6725088  0.0072423  2302.090   <2e-16 ***
ORIGIN_GRID_ID1422        17.9167591  0.0049293  3634.740   <2e-16 ***
ORIGIN_GRID_ID1423        18.7526342  0.0036265  5170.981   <2e-16 ***
ORIGIN_GRID_ID1430        15.8516178  0.0069304  2287.259   <2e-16 ***
ORIGIN_GRID_ID1431        15.8131403  0.0059052  2677.829   <2e-16 ***
ORIGIN_GRID_ID1432        15.9586604  0.0056729  2813.129   <2e-16 ***
ORIGIN_GRID_ID1433        14.6928592  0.0182995   802.909   <2e-16 ***
ORIGIN_GRID_ID1434        16.4292280  0.0061201  2684.489   <2e-16 ***
ORIGIN_GRID_ID1435        17.0709124  0.0046343  3683.604   <2e-16 ***
ORIGIN_GRID_ID1436        13.9842673  0.0261317   535.145   <2e-16 ***
ORIGIN_GRID_ID1437        17.2083169  0.0049557  3472.446   <2e-16 ***
ORIGIN_GRID_ID1438        17.6290424  0.0038934  4527.886   <2e-16 ***
ORIGIN_GRID_ID1439        18.2905309  0.0035061  5216.777   <2e-16 ***
ORIGIN_GRID_ID1440        14.7399827  0.0214552   687.012   <2e-16 ***
ORIGIN_GRID_ID1442        17.3707164  0.0068421  2538.799   <2e-16 ***
ORIGIN_GRID_ID1443        18.4203794  0.0039764  4632.440   <2e-16 ***
ORIGIN_GRID_ID1444        17.6105864  0.0079012  2228.862   <2e-16 ***
ORIGIN_GRID_ID1452        14.9312507  0.0093205  1601.981   <2e-16 ***
ORIGIN_GRID_ID1453        15.1686420  0.0089705  1690.951   <2e-16 ***
ORIGIN_GRID_ID1454        14.2314666  0.0210458   676.216   <2e-16 ***
ORIGIN_GRID_ID1455        15.6694949  0.0092809  1688.358   <2e-16 ***
ORIGIN_GRID_ID1456        16.4217049  0.0066669  2463.169   <2e-16 ***
ORIGIN_GRID_ID1457        17.3634639  0.0046096  3766.839   <2e-16 ***
ORIGIN_GRID_ID1458        17.4554630  0.0042133  4142.936   <2e-16 ***
ORIGIN_GRID_ID1459        17.0610094  0.0051390  3319.908   <2e-16 ***
ORIGIN_GRID_ID1460        16.3041597  0.0071663  2275.107   <2e-16 ***
ORIGIN_GRID_ID1461        15.0424704  0.0180273   834.427   <2e-16 ***
ORIGIN_GRID_ID1464        18.7245577  0.0037434  5002.055   <2e-16 ***
ORIGIN_GRID_ID1465        18.3968867  0.0047841  3845.453   <2e-16 ***
ORIGIN_GRID_ID1472        13.4870616  0.0235095   573.685   <2e-16 ***
ORIGIN_GRID_ID1473        14.4834106  0.0118066  1226.727   <2e-16 ***
ORIGIN_GRID_ID1474        15.6586476  0.0063077  2482.451   <2e-16 ***
ORIGIN_GRID_ID1475        16.7596365  0.0049030  3418.254   <2e-16 ***
ORIGIN_GRID_ID1476        16.2864493  0.0070657  2305.002   <2e-16 ***
ORIGIN_GRID_ID1477        17.8661824  0.0033817  5283.137   <2e-16 ***
ORIGIN_GRID_ID1478        16.2805402  0.0070712  2302.383   <2e-16 ***
ORIGIN_GRID_ID1479        16.5284861  0.0063542  2601.207   <2e-16 ***
ORIGIN_GRID_ID1480        18.2621534  0.0032724  5580.583   <2e-16 ***
ORIGIN_GRID_ID1481        15.8698644  0.0107542  1475.691   <2e-16 ***
ORIGIN_GRID_ID1482        15.7358377  0.0141386  1112.968   <2e-16 ***
ORIGIN_GRID_ID1485        18.2289695  0.0049441  3687.038   <2e-16 ***
ORIGIN_GRID_ID1494        14.6700282  0.0142545  1029.147   <2e-16 ***
ORIGIN_GRID_ID1495        14.9560241  0.0091864  1628.054   <2e-16 ***
ORIGIN_GRID_ID1496        16.1333476  0.0053306  3026.529   <2e-16 ***
ORIGIN_GRID_ID1497        16.6815721  0.0056827  2935.495   <2e-16 ***
ORIGIN_GRID_ID1498        17.1848762  0.0045766  3754.932   <2e-16 ***
ORIGIN_GRID_ID1499        17.4939957  0.0041191  4246.995   <2e-16 ***
ORIGIN_GRID_ID1500        17.4370186  0.0057754  3019.193   <2e-16 ***
ORIGIN_GRID_ID1501        17.5535321  0.0041594  4220.165   <2e-16 ***
ORIGIN_GRID_ID1502        17.1896637  0.0051638  3328.871   <2e-16 ***
ORIGIN_GRID_ID1506        13.0285949  0.1078551   120.797   <2e-16 ***
ORIGIN_GRID_ID1515        13.7679080  0.0260755   528.002   <2e-16 ***
ORIGIN_GRID_ID1516        15.3154996  0.0080488  1902.839   <2e-16 ***
ORIGIN_GRID_ID1517        15.8161776  0.0074629  2119.319   <2e-16 ***
ORIGIN_GRID_ID1518        16.1097860  0.0080066  2012.065   <2e-16 ***
ORIGIN_GRID_ID1519        17.6391123  0.0052428  3364.420   <2e-16 ***
ORIGIN_GRID_ID1520        16.2739037  0.0074189  2193.587   <2e-16 ***
ORIGIN_GRID_ID1521        15.6103291  0.0112434  1388.402   <2e-16 ***
ORIGIN_GRID_ID1522        17.8644796  0.0038840  4599.525   <2e-16 ***
ORIGIN_GRID_ID1523        16.1928869  0.0163303   991.587   <2e-16 ***
ORIGIN_GRID_ID1524        16.4420063  0.0101342  1622.421   <2e-16 ***
ORIGIN_GRID_ID1527        16.0883396  0.0164850   975.935   <2e-16 ***
ORIGIN_GRID_ID1535        12.2434959  0.0995245   123.020   <2e-16 ***
ORIGIN_GRID_ID1536        13.1802005  0.0354148   372.166   <2e-16 ***
ORIGIN_GRID_ID1537        13.7677207  0.0204361   673.697   <2e-16 ***
ORIGIN_GRID_ID1538        15.6460193  0.0070436  2221.295   <2e-16 ***
ORIGIN_GRID_ID1539        16.3084129  0.0056632  2879.710   <2e-16 ***
ORIGIN_GRID_ID1540        17.0921417  0.0047562  3593.636   <2e-16 ***
ORIGIN_GRID_ID1541        18.3381812  0.0054441  3368.480   <2e-16 ***
ORIGIN_GRID_ID1542        15.3549495  0.0162264   946.296   <2e-16 ***
ORIGIN_GRID_ID1543        15.7250557  0.0227133   692.327   <2e-16 ***
ORIGIN_GRID_ID1544        17.1444750  0.0068910  2487.947   <2e-16 ***
ORIGIN_GRID_ID1547        14.0056556  0.0601250   232.942   <2e-16 ***
ORIGIN_GRID_ID1556        13.7095272  0.0690394   198.575   <2e-16 ***
ORIGIN_GRID_ID1557        13.0924658  0.0375859   348.335   <2e-16 ***
ORIGIN_GRID_ID1558        14.4348160  0.0208252   693.141   <2e-16 ***
ORIGIN_GRID_ID1559        16.3774031  0.0053873  3039.994   <2e-16 ***
ORIGIN_GRID_ID1560        17.3669471  0.0040707  4266.310   <2e-16 ***
ORIGIN_GRID_ID1561        17.6669439  0.0049460  3571.945   <2e-16 ***
ORIGIN_GRID_ID1562        14.5776067  0.0215927   675.118   <2e-16 ***
ORIGIN_GRID_ID1563        16.2170025  0.0077688  2087.440   <2e-16 ***
ORIGIN_GRID_ID1564        15.4144384  0.0141615  1088.477   <2e-16 ***
ORIGIN_GRID_ID1565        15.4673872  0.0145814  1060.762   <2e-16 ***
ORIGIN_GRID_ID1566        14.9905399  0.0207187   723.527   <2e-16 ***
ORIGIN_GRID_ID1567        12.9283753  0.0949381   136.177   <2e-16 ***
ORIGIN_GRID_ID1568        13.4973341  0.0676055   199.648   <2e-16 ***
ORIGIN_GRID_ID1578        10.7215729  0.2582064    41.523   <2e-16 ***
ORIGIN_GRID_ID1580        14.9315293  0.0176876   844.182   <2e-16 ***
ORIGIN_GRID_ID1581        13.8667996  0.0220037   630.203   <2e-16 ***
ORIGIN_GRID_ID1582        17.1926288  0.0043122  3986.958   <2e-16 ***
ORIGIN_GRID_ID1583        15.8697812  0.0215027   738.037   <2e-16 ***
ORIGIN_GRID_ID1584        15.9259055  0.0110296  1443.919   <2e-16 ***
ORIGIN_GRID_ID1585        16.2662291  0.0098906  1644.621   <2e-16 ***
ORIGIN_GRID_ID1586        15.3857108  0.0139686  1101.449   <2e-16 ***
ORIGIN_GRID_ID1589        13.1633758  0.0953700   138.024   <2e-16 ***
ORIGIN_GRID_ID1590        13.7151319  0.0647231   211.905   <2e-16 ***
ORIGIN_GRID_ID1600        17.0402672  0.0101674  1675.975   <2e-16 ***
ORIGIN_GRID_ID1601        15.5921631  0.0081666  1909.254   <2e-16 ***
ORIGIN_GRID_ID1602        16.5973515  0.0065355  2539.563   <2e-16 ***
ORIGIN_GRID_ID1603        17.4668065  0.0043839  3984.345   <2e-16 ***
ORIGIN_GRID_ID1604        15.9327713  0.0084334  1889.236   <2e-16 ***
ORIGIN_GRID_ID1605        17.2962230  0.0046310  3734.909   <2e-16 ***
ORIGIN_GRID_ID1606        16.9589203  0.0098877  1715.150   <2e-16 ***
ORIGIN_GRID_ID1607        16.0681785  0.0098525  1630.874   <2e-16 ***
ORIGIN_GRID_ID1608        17.6616624  0.0047841  3691.707   <2e-16 ***
ORIGIN_GRID_ID1609        17.4120196  0.0059158  2943.309   <2e-16 ***
ORIGIN_GRID_ID1610        14.0500756  0.0668518   210.167   <2e-16 ***
ORIGIN_GRID_ID1622        15.7369051  0.0222517   707.223   <2e-16 ***
ORIGIN_GRID_ID1623        17.0134069  0.0045000  3780.782   <2e-16 ***
ORIGIN_GRID_ID1624        15.9496736  0.0086613  1841.494   <2e-16 ***
ORIGIN_GRID_ID1625        17.2864863  0.0050297  3436.912   <2e-16 ***
ORIGIN_GRID_ID1626        17.8498499  0.0037362  4777.528   <2e-16 ***
ORIGIN_GRID_ID1627        16.2568186  0.0075834  2143.743   <2e-16 ***
ORIGIN_GRID_ID1628        18.0448017  0.0037912  4759.637   <2e-16 ***
ORIGIN_GRID_ID1629        16.8999825  0.0070165  2408.594   <2e-16 ***
ORIGIN_GRID_ID1630        16.7781171  0.0078550  2135.990   <2e-16 ***
ORIGIN_GRID_ID1631        13.2619819  0.0700486   189.326   <2e-16 ***
ORIGIN_GRID_ID1642        14.7417189  0.0303857   485.153   <2e-16 ***
ORIGIN_GRID_ID1643        16.9176692  0.0047608  3553.509   <2e-16 ***
ORIGIN_GRID_ID1644        14.9943997  0.0173132   866.068   <2e-16 ***
ORIGIN_GRID_ID1645        16.5331049  0.0065140  2538.091   <2e-16 ***
ORIGIN_GRID_ID1646        16.4381957  0.0094467  1740.094   <2e-16 ***
ORIGIN_GRID_ID1647        16.5754316  0.0062269  2661.903   <2e-16 ***
ORIGIN_GRID_ID1648        17.1438261  0.0051681  3317.233   <2e-16 ***
ORIGIN_GRID_ID1649        17.8845447  0.0040183  4450.748   <2e-16 ***
ORIGIN_GRID_ID1650        17.6056897  0.0055003  3200.834   <2e-16 ***
ORIGIN_GRID_ID1664        11.9456906  0.1474548    81.013   <2e-16 ***
ORIGIN_GRID_ID1665        17.2002316  0.0043673  3938.404   <2e-16 ***
ORIGIN_GRID_ID1666        15.9511981  0.0075778  2105.003   <2e-16 ***
ORIGIN_GRID_ID1667        17.1679009  0.0108660  1579.967   <2e-16 ***
ORIGIN_GRID_ID1668        17.1958622  0.0050283  3419.841   <2e-16 ***
ORIGIN_GRID_ID1670        18.0232104  0.0038052  4736.446   <2e-16 ***
ORIGIN_GRID_ID1671        18.5711663  0.0053218  3489.613   <2e-16 ***
ORIGIN_GRID_ID1672        17.7091215  0.0058681  3017.866   <2e-16 ***
ORIGIN_GRID_ID1684        16.2402466  0.0136837  1186.833   <2e-16 ***
ORIGIN_GRID_ID1685        16.8033423  0.0056981  2948.955   <2e-16 ***
ORIGIN_GRID_ID1686        16.6172008  0.0057506  2889.638   <2e-16 ***
ORIGIN_GRID_ID1687        16.5727944  0.0078184  2119.729   <2e-16 ***
ORIGIN_GRID_ID1688        15.9079817  0.0090870  1750.633   <2e-16 ***
ORIGIN_GRID_ID1689        15.3592142  0.0135673  1132.073   <2e-16 ***
ORIGIN_GRID_ID1690        17.0182105  0.0068140  2497.527   <2e-16 ***
ORIGIN_GRID_ID1691        17.5767656  0.0047111  3730.960   <2e-16 ***
ORIGIN_GRID_ID1692        16.7067605  0.0084889  1968.077   <2e-16 ***
ORIGIN_GRID_ID1706        16.7106709  0.0067574  2472.926   <2e-16 ***
ORIGIN_GRID_ID1707        16.6527324  0.0054149  3075.339   <2e-16 ***
ORIGIN_GRID_ID1708        17.3063446  0.0044667  3874.490   <2e-16 ***
ORIGIN_GRID_ID1709        16.4438791  0.0069541  2364.627   <2e-16 ***
ORIGIN_GRID_ID1710        17.5864646  0.0045656  3851.979   <2e-16 ***
ORIGIN_GRID_ID1711        17.1971235  0.0055127  3119.533   <2e-16 ***
ORIGIN_GRID_ID1712        17.8885158  0.0038073  4698.476   <2e-16 ***
ORIGIN_GRID_ID1713        15.3684881  0.0136553  1125.463   <2e-16 ***
ORIGIN_GRID_ID1714        17.7922322  0.0049462  3597.138   <2e-16 ***
ORIGIN_GRID_ID1727        16.9185543  0.0056667  2985.613   <2e-16 ***
ORIGIN_GRID_ID1728        16.8640214  0.0053069  3177.756   <2e-16 ***
ORIGIN_GRID_ID1729        16.5043793  0.0062160  2655.163   <2e-16 ***
ORIGIN_GRID_ID1730        14.6043880  0.0233136   626.432   <2e-16 ***
ORIGIN_GRID_ID1731        17.1932182  0.0054978  3127.314   <2e-16 ***
ORIGIN_GRID_ID1732        17.6248846  0.0041180  4279.964   <2e-16 ***
ORIGIN_GRID_ID1733        17.3395525  0.0048293  3590.507   <2e-16 ***
ORIGIN_GRID_ID1734        17.4964950  0.0046067  3798.077   <2e-16 ***
ORIGIN_GRID_ID1735        18.5457998  0.0060267  3077.292   <2e-16 ***
ORIGIN_GRID_ID1748        15.6891218  0.0106341  1475.358   <2e-16 ***
ORIGIN_GRID_ID1749        16.6255204  0.0056018  2967.893   <2e-16 ***
ORIGIN_GRID_ID1750        15.8546909  0.0080381  1972.440   <2e-16 ***
ORIGIN_GRID_ID1751        15.8119782  0.0112838  1401.297   <2e-16 ***
ORIGIN_GRID_ID1753        17.7286519  0.0042432  4178.145   <2e-16 ***
ORIGIN_GRID_ID1754        17.9275946  0.0037679  4757.977   <2e-16 ***
ORIGIN_GRID_ID1755        17.3876350  0.0047086  3692.727   <2e-16 ***
ORIGIN_GRID_ID1756        17.1734819  0.0056600  3034.198   <2e-16 ***
ORIGIN_GRID_ID1757        14.5609929  0.0337145   431.892   <2e-16 ***
ORIGIN_GRID_ID1769        16.5145240  0.0065237  2531.459   <2e-16 ***
ORIGIN_GRID_ID1770        16.4279451  0.0107957  1521.705   <2e-16 ***
ORIGIN_GRID_ID1771        15.4806031  0.0116475  1329.094   <2e-16 ***
ORIGIN_GRID_ID1772        15.1618583  0.0268464   564.764   <2e-16 ***
ORIGIN_GRID_ID1774        17.3784729  0.0046924  3703.571   <2e-16 ***
ORIGIN_GRID_ID1775        16.8858748  0.0058853  2869.171   <2e-16 ***
ORIGIN_GRID_ID1776        17.8828697  0.0038200  4681.381   <2e-16 ***
ORIGIN_GRID_ID1777        17.9367257  0.0041922  4278.576   <2e-16 ***
ORIGIN_GRID_ID1778        16.9610565  0.0117121  1448.165   <2e-16 ***
ORIGIN_GRID_ID1790        17.1599064  0.0054573  3144.392   <2e-16 ***
ORIGIN_GRID_ID1791        16.5226781  0.0070442  2345.585   <2e-16 ***
ORIGIN_GRID_ID1792        16.7573008  0.0072385  2315.029   <2e-16 ***
ORIGIN_GRID_ID1793        14.9503445  0.0158613   942.566   <2e-16 ***
ORIGIN_GRID_ID1794        15.5166802  0.0286320   541.935   <2e-16 ***
ORIGIN_GRID_ID1795        14.2179727  0.0344504   412.709   <2e-16 ***
ORIGIN_GRID_ID1796        17.6887965  0.0046808  3778.979   <2e-16 ***
ORIGIN_GRID_ID1797        17.6377270  0.0042642  4136.197   <2e-16 ***
ORIGIN_GRID_ID1798        17.7618715  0.0042251  4203.930   <2e-16 ***
ORIGIN_GRID_ID1799        16.7347581  0.0078381  2135.056   <2e-16 ***
ORIGIN_GRID_ID1800        15.9139633  0.0265268   599.919   <2e-16 ***
ORIGIN_GRID_ID1811        16.3265047  0.0079796  2046.018   <2e-16 ***
ORIGIN_GRID_ID1812        17.5363625  0.0041014  4275.727   <2e-16 ***
ORIGIN_GRID_ID1813        17.4803467  0.0043221  4044.428   <2e-16 ***
ORIGIN_GRID_ID1817        17.4046523  0.0056016  3107.092   <2e-16 ***
ORIGIN_GRID_ID1818        17.4024360  0.0047728  3646.165   <2e-16 ***
ORIGIN_GRID_ID1819        17.7516641  0.0040487  4384.498   <2e-16 ***
ORIGIN_GRID_ID1820        14.5429233  0.0363774   399.779   <2e-16 ***
ORIGIN_GRID_ID1832        16.9918414  0.0059903  2836.553   <2e-16 ***
ORIGIN_GRID_ID1833        16.5634751  0.0064880  2552.927   <2e-16 ***
ORIGIN_GRID_ID1834        17.1286333  0.0049709  3445.770   <2e-16 ***
ORIGIN_GRID_ID1835        16.4744891  0.0079186  2080.487   <2e-16 ***
ORIGIN_GRID_ID1837        13.7909177  0.0631546   218.368   <2e-16 ***
ORIGIN_GRID_ID1839        16.7016871  0.0075914  2200.091   <2e-16 ***
ORIGIN_GRID_ID1840        18.6155323  0.0031874  5840.301   <2e-16 ***
ORIGIN_GRID_ID1841        13.7476322  0.0459751   299.024   <2e-16 ***
ORIGIN_GRID_ID1842        17.4599058  0.0111597  1564.548   <2e-16 ***
ORIGIN_GRID_ID1853        16.9803539  0.0054162  3135.093   <2e-16 ***
ORIGIN_GRID_ID1854        17.2667290  0.0051568  3348.325   <2e-16 ***
ORIGIN_GRID_ID1855        17.6152231  0.0045682  3856.030   <2e-16 ***
ORIGIN_GRID_ID1858        15.3430007  0.0269860   568.555   <2e-16 ***
ORIGIN_GRID_ID1860        17.8148427  0.0087529  2035.303   <2e-16 ***
ORIGIN_GRID_ID1861        17.6160009  0.0048608  3624.123   <2e-16 ***
ORIGIN_GRID_ID1874        17.1555776  0.0065730  2609.989   <2e-16 ***
ORIGIN_GRID_ID1875        15.6028889  0.0138283  1128.332   <2e-16 ***
ORIGIN_GRID_ID1876        17.4748482  0.0107271  1629.043   <2e-16 ***
ORIGIN_GRID_ID1877        17.2579247  0.0051887  3326.046   <2e-16 ***
ORIGIN_GRID_ID1880        14.1065455  0.0491327   287.111   <2e-16 ***
ORIGIN_GRID_ID1882        17.5252812  0.0052468  3340.166   <2e-16 ***
ORIGIN_GRID_ID1883        17.3244583  0.0090043  1924.021   <2e-16 ***
ORIGIN_GRID_ID1895        17.2265804  0.0052229  3298.261   <2e-16 ***
ORIGIN_GRID_ID1896        15.8061184  0.0102111  1547.928   <2e-16 ***
ORIGIN_GRID_ID1897        16.6051103  0.0094885  1750.027   <2e-16 ***
ORIGIN_GRID_ID1898        11.9843546  0.1507710    79.487   <2e-16 ***
ORIGIN_GRID_ID1901        13.8386384  0.0723913   191.164   <2e-16 ***
ORIGIN_GRID_ID1903        16.7870790  0.0090239  1860.299   <2e-16 ***
ORIGIN_GRID_ID1917        15.8695861  0.0102075  1554.698   <2e-16 ***
ORIGIN_GRID_ID1918        17.7189166  0.0061181  2896.151   <2e-16 ***
ORIGIN_GRID_ID1919        17.2087751  0.0055861  3080.648   <2e-16 ***
ORIGIN_GRID_ID1922        15.2010650  0.0280634   541.669   <2e-16 ***
ORIGIN_GRID_ID1924        16.7233120  0.0097072  1722.767   <2e-16 ***
ORIGIN_GRID_ID1937        16.6225828  0.0074525  2230.458   <2e-16 ***
ORIGIN_GRID_ID1938        17.4944166  0.0048113  3636.139   <2e-16 ***
ORIGIN_GRID_ID1939        18.0933128  0.0043488  4160.484   <2e-16 ***
ORIGIN_GRID_ID1942        14.3074983  0.0461753   309.852   <2e-16 ***
ORIGIN_GRID_ID1959        16.2873324  0.0092413  1762.442   <2e-16 ***
ORIGIN_GRID_ID1960        18.2506869  0.0033462  5454.136   <2e-16 ***
ORIGIN_GRID_ID1961        16.9455599  0.0073774  2296.942   <2e-16 ***
ORIGIN_GRID_ID1962        17.9410127  0.0046903  3825.126   <2e-16 ***
ORIGIN_GRID_ID1964        13.6039997  0.0860906   158.020   <2e-16 ***
ORIGIN_GRID_ID1979        16.5736988  0.0085545  1937.421   <2e-16 ***
ORIGIN_GRID_ID1980        15.0920900  0.0149639  1008.567   <2e-16 ***
ORIGIN_GRID_ID1981        17.6093789  0.0046439  3791.967   <2e-16 ***
ORIGIN_GRID_ID1982        16.4667384  0.0117804  1397.809   <2e-16 ***
ORIGIN_GRID_ID1983        17.9681583  0.0046930  3828.683   <2e-16 ***
ORIGIN_GRID_ID1984        16.6494089  0.0080795  2060.707   <2e-16 ***
ORIGIN_GRID_ID1985        17.2333541  0.0065924  2614.126   <2e-16 ***
ORIGIN_GRID_ID2001        16.8722947  0.0063542  2655.278   <2e-16 ***
ORIGIN_GRID_ID2002        17.6305485  0.0042095  4188.294   <2e-16 ***
ORIGIN_GRID_ID2003        17.2625982  0.0054243  3182.439   <2e-16 ***
ORIGIN_GRID_ID2004        18.0125664  0.0045306  3975.730   <2e-16 ***
ORIGIN_GRID_ID2005        17.8848248  0.0044458  4022.838   <2e-16 ***
ORIGIN_GRID_ID2006        16.4417102  0.0098549  1668.377   <2e-16 ***
ORIGIN_GRID_ID2007        15.8425104  0.0168033   942.822   <2e-16 ***
ORIGIN_GRID_ID2022        17.4693179  0.0063346  2757.747   <2e-16 ***
ORIGIN_GRID_ID2023        17.8820958  0.0040690  4394.707   <2e-16 ***
ORIGIN_GRID_ID2024        17.2338351  0.0051956  3316.975   <2e-16 ***
ORIGIN_GRID_ID2025        17.4459895  0.0049281  3540.071   <2e-16 ***
ORIGIN_GRID_ID2026        16.1069911  0.0120815  1333.195   <2e-16 ***
ORIGIN_GRID_ID2027        18.0959185  0.0042944  4213.799   <2e-16 ***
ORIGIN_GRID_ID2043        16.6558709  0.0081739  2037.692   <2e-16 ***
ORIGIN_GRID_ID2044        17.5775586  0.0046008  3820.532   <2e-16 ***
ORIGIN_GRID_ID2045        13.5290756  0.0785966   172.133   <2e-16 ***
ORIGIN_GRID_ID2046        17.4867404  0.0043033  4063.553   <2e-16 ***
ORIGIN_GRID_ID2047        17.4667435  0.0054870  3183.282   <2e-16 ***
ORIGIN_GRID_ID2048        17.6715407  0.0049084  3600.248   <2e-16 ***
ORIGIN_GRID_ID2049        16.6505705  0.0138835  1199.309   <2e-16 ***
ORIGIN_GRID_ID2064        17.4789834  0.0052699  3316.751   <2e-16 ***
ORIGIN_GRID_ID2065        16.0806469  0.0091132  1764.548   <2e-16 ***
ORIGIN_GRID_ID2066        15.5872704  0.0257032   606.434   <2e-16 ***
ORIGIN_GRID_ID2067        18.6106224  0.0031346  5937.201   <2e-16 ***
ORIGIN_GRID_ID2068        17.5981756  0.0072359  2432.064   <2e-16 ***
ORIGIN_GRID_ID2069        17.5010051  0.0057676  3034.351   <2e-16 ***
ORIGIN_GRID_ID2085        16.2311790  0.0101896  1592.917   <2e-16 ***
ORIGIN_GRID_ID2086        17.7942191  0.0043900  4053.387   <2e-16 ***
ORIGIN_GRID_ID2087        16.4906135  0.0078047  2112.921   <2e-16 ***
ORIGIN_GRID_ID2088        17.1741847  0.0049791  3449.288   <2e-16 ***
ORIGIN_GRID_ID2089        16.9402135  0.0068061  2488.991   <2e-16 ***
ORIGIN_GRID_ID2090        18.1563196  0.0038254  4746.306   <2e-16 ***
ORIGIN_GRID_ID2091        13.8239818  0.0739505   186.936   <2e-16 ***
ORIGIN_GRID_ID2105        14.1510857  0.1147345   123.338   <2e-16 ***
ORIGIN_GRID_ID2106        14.7787524  0.0204112   724.050   <2e-16 ***
ORIGIN_GRID_ID2107        15.8629959  0.0098732  1606.671   <2e-16 ***
ORIGIN_GRID_ID2108        17.1283624  0.0059326  2887.144   <2e-16 ***
ORIGIN_GRID_ID2109        17.3767315  0.0048308  3597.086   <2e-16 ***
ORIGIN_GRID_ID2110        16.9195199  0.0077046  2196.038   <2e-16 ***
ORIGIN_GRID_ID2111        14.4832785  0.0497912   290.880   <2e-16 ***
ORIGIN_GRID_ID2128        15.6580378  0.0152375  1027.596   <2e-16 ***
ORIGIN_GRID_ID2129        15.1671280  0.0163639   926.865   <2e-16 ***
ORIGIN_GRID_ID2130        17.6634446  0.0042148  4190.812   <2e-16 ***
ORIGIN_GRID_ID2131        17.9533778  0.0047522  3777.942   <2e-16 ***
ORIGIN_GRID_ID2132        17.1112833  0.0064275  2662.214   <2e-16 ***
ORIGIN_GRID_ID2148        16.4593844  0.0121707  1352.376   <2e-16 ***
ORIGIN_GRID_ID2149        15.1648086  0.0168152   901.849   <2e-16 ***
ORIGIN_GRID_ID2150        17.5813150  0.0048983  3589.260   <2e-16 ***
ORIGIN_GRID_ID2151        18.0480729  0.0038068  4741.071   <2e-16 ***
ORIGIN_GRID_ID2152        18.1774238  0.0041190  4413.068   <2e-16 ***
ORIGIN_GRID_ID2153        17.6747470  0.0057815  3057.128   <2e-16 ***
ORIGIN_GRID_ID2171        16.5487847  0.0076360  2167.219   <2e-16 ***
ORIGIN_GRID_ID2172        16.8124609  0.0082330  2042.090   <2e-16 ***
ORIGIN_GRID_ID2173        17.2071210  0.0054591  3151.991   <2e-16 ***
ORIGIN_GRID_ID2174        17.5770662  0.0055297  3178.650   <2e-16 ***
ORIGIN_GRID_ID2191        16.4582602  0.0107546  1530.351   <2e-16 ***
ORIGIN_GRID_ID2192        15.9553056  0.0117985  1352.321   <2e-16 ***
ORIGIN_GRID_ID2193        17.0589534  0.0063619  2681.432   <2e-16 ***
ORIGIN_GRID_ID2194        17.3664368  0.0054722  3173.592   <2e-16 ***
ORIGIN_GRID_ID2195        16.6830344  0.0221835   752.046   <2e-16 ***
ORIGIN_GRID_ID2212        13.8374670  0.1037196   133.412   <2e-16 ***
ORIGIN_GRID_ID2213        13.5981439  0.0447679   303.748   <2e-16 ***
ORIGIN_GRID_ID2214        15.0710213  0.0279073   540.040   <2e-16 ***
ORIGIN_GRID_ID2215        17.0150053  0.0072109  2359.616   <2e-16 ***
ORIGIN_GRID_ID2216        16.1751818  0.0113881  1420.358   <2e-16 ***
ORIGIN_GRID_ID2233        13.8770866  0.0494280   280.753   <2e-16 ***
ORIGIN_GRID_ID2234        16.4554960  0.0205505   800.733   <2e-16 ***
ORIGIN_GRID_ID2235        15.9357271  0.0138952  1146.855   <2e-16 ***
ORIGIN_GRID_ID2236        16.0088813  0.0132172  1211.220   <2e-16 ***
ORIGIN_GRID_ID2237        13.6692554  0.0618131   221.139   <2e-16 ***
ORIGIN_GRID_ID2256        14.4613530  0.0444165   325.585   <2e-16 ***
ORIGIN_GRID_ID2257        15.5209071  0.0204204   760.070   <2e-16 ***
ORIGIN_GRID_ID2258        15.2268448  0.0167371   909.767   <2e-16 ***
ORIGIN_GRID_ID2259        14.7700400  0.0397063   371.982   <2e-16 ***
ORIGIN_GRID_ID2277        15.3482819  0.0382686   401.067   <2e-16 ***
ORIGIN_GRID_ID2278        15.9566759  0.0163345   976.868   <2e-16 ***
ORIGIN_GRID_ID2279        15.1218838  0.0206652   731.755   <2e-16 ***
ORIGIN_GRID_ID2280        12.7999662  0.1336460    95.775   <2e-16 ***
ORIGIN_GRID_ID2297        17.3252873  0.0100197  1729.120   <2e-16 ***
ORIGIN_GRID_ID2300        13.5051087  0.0698759   193.273   <2e-16 ***
ORIGIN_GRID_ID2301        15.2142853  0.0201731   754.188   <2e-16 ***
ORIGIN_GRID_ID2318        15.7236853  0.0198828   790.817   <2e-16 ***
ORIGIN_GRID_ID2319        16.6162927  0.0114566  1450.366   <2e-16 ***
ORIGIN_GRID_ID2322        16.3025195  0.0129778  1256.188   <2e-16 ***
ORIGIN_GRID_ID2337        17.4349870  0.0156568  1113.575   <2e-16 ***
ORIGIN_GRID_ID2341        16.8702873  0.0105872  1593.465   <2e-16 ***
ORIGIN_GRID_ID2343        15.9912596  0.0148211  1078.953   <2e-16 ***
ORIGIN_GRID_ID2361        16.6906912  0.0128903  1294.827   <2e-16 ***
ORIGIN_GRID_ID2364        13.0995296  0.0958082   136.727   <2e-16 ***
ORIGIN_GRID_ID2379        17.1667440  0.0168255  1020.282   <2e-16 ***
ORIGIN_GRID_ID2384        16.2730598  0.0175037   929.690   <2e-16 ***
ORIGIN_GRID_ID2405        15.8866309  0.0183550   865.521   <2e-16 ***
ORIGIN_GRID_ID2406        14.6037091  0.0399331   365.705   <2e-16 ***
ORIGIN_GRID_ID2426        16.2377027  0.0332909   487.752   <2e-16 ***
ORIGIN_GRID_ID2427        17.1517378  0.0116141  1476.804   <2e-16 ***
ORIGIN_GRID_ID2505        16.6735991  0.0460454   362.112   <2e-16 ***
log(DESTIN_TRAIN_EXIT_CT)  0.4851972  0.0004390  1105.326   <2e-16 ***
log(DESTIN_PRESCHOOL_CT)   0.0088319  0.0003486    25.338   <2e-16 ***
log(DESTIN_BUSINESS_CT)    0.0691203  0.0001998   345.933   <2e-16 ***
log(DESTIN_FINSERV_CT)     0.2429692  0.0002983   814.437   <2e-16 ***
log(DESTIN_SCH_CT)         0.2783567  0.0007329   379.827   <2e-16 ***
log(dist)                 -1.5029925  0.0002895 -5192.577   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 278704584  on 62186  degrees of freedom
Residual deviance:  30620057  on 61363  degrees of freedom
AIC: 30957807

Number of Fisher Scoring iterations: 7

Destination Constrained SIM output

The R-squared value of 0.37 tells us that the explanatory variables are able to explain 37% of the variance in the TRIPS target variable.

CalcRSquared(decSIM$data$TRIPS, decSIM$fitted.values)
[1] 0.3704619

Adjusted_squared

Calc_AdjRSquared(CalcRSquared(decSIM$data$TRIPS, decSIM$fitted.values),
                 length(decSIM$data$TRIPS),
                 length(decSIM$coefficients)-1)
[1] 0.3619976

All the coefficients are statistically significant (refer to next tab).

The most influential explanatory variables are distance, origin 5 room count and origin exec count count with coefficients of -1.42, 0.09 and 0.04 respectively.

decSIM$coefficients[819:828]
log(ORIGIN_RENTAL_CT)  log(ORIGIN_2ROOM_CT)  log(ORIGIN_3ROOM_CT) 
          0.002061644           0.013296248           0.011763567 
 log(ORIGIN_4ROOM_CT)  log(ORIGIN_5ROOM_CT)   log(ORIGIN_EXEC_CT) 
          0.037540467           0.093683482           0.041114828 
log(ORIGIN_STUDIO_CT)             log(dist)                  <NA> 
          0.006472617          -1.411808527                    NA 
                 <NA> 
                   NA 
summary(decSIM)

Call:
glm(formula = TRIPS ~ DESTIN_GRID_ID + log(ORIGIN_RENTAL_CT) + 
    log(ORIGIN_2ROOM_CT) + log(ORIGIN_3ROOM_CT) + log(ORIGIN_4ROOM_CT) + 
    log(ORIGIN_5ROOM_CT) + log(ORIGIN_EXEC_CT) + log(ORIGIN_STUDIO_CT) + 
    log(dist) - 1, family = poisson(link = "log"), data = flow_data1, 
    na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-368.58   -11.61    -5.26     0.79   606.65  

Coefficients:
                        Estimate Std. Error  z value Pr(>|z|)    
DESTIN_GRID_ID23       1.604e+01  5.527e-02   290.28   <2e-16 ***
DESTIN_GRID_ID44       1.730e+01  2.343e-02   738.09   <2e-16 ***
DESTIN_GRID_ID46       1.637e+01  2.049e-02   798.91   <2e-16 ***
DESTIN_GRID_ID66       1.545e+01  4.879e-02   316.67   <2e-16 ***
DESTIN_GRID_ID67       1.634e+01  1.448e-02  1128.20   <2e-16 ***
DESTIN_GRID_ID68       1.651e+01  2.054e-02   803.82   <2e-16 ***
DESTIN_GRID_ID86       1.644e+01  3.644e-02   451.21   <2e-16 ***
DESTIN_GRID_ID87       1.419e+01  8.773e-02   161.79   <2e-16 ***
DESTIN_GRID_ID88       1.593e+01  1.828e-02   871.60   <2e-16 ***
DESTIN_GRID_ID89       1.625e+01  2.104e-02   772.55   <2e-16 ***
DESTIN_GRID_ID90       1.180e+01  7.071e-01    16.68   <2e-16 ***
DESTIN_GRID_ID109      1.608e+01  2.498e-02   643.92   <2e-16 ***
DESTIN_GRID_ID110      1.253e+01  1.179e-01   106.34   <2e-16 ***
DESTIN_GRID_ID111      1.642e+01  1.276e-02  1287.49   <2e-16 ***
DESTIN_GRID_ID112      1.443e+01  3.362e-02   429.10   <2e-16 ***
DESTIN_GRID_ID128      1.609e+01  2.522e-02   637.87   <2e-16 ***
DESTIN_GRID_ID129      1.315e+01  1.374e-01    95.75   <2e-16 ***
DESTIN_GRID_ID130      1.551e+01  2.343e-02   661.69   <2e-16 ***
DESTIN_GRID_ID131      1.506e+01  2.252e-02   668.86   <2e-16 ***
DESTIN_GRID_ID132      1.631e+01  1.541e-02  1058.11   <2e-16 ***
DESTIN_GRID_ID133      1.596e+01  1.291e-02  1236.27   <2e-16 ***
DESTIN_GRID_ID134      1.613e+01  1.208e-02  1334.98   <2e-16 ***
DESTIN_GRID_ID150      1.575e+01  2.640e-02   596.78   <2e-16 ***
DESTIN_GRID_ID151      1.533e+01  2.297e-02   667.47   <2e-16 ***
DESTIN_GRID_ID152      1.680e+01  1.461e-02  1150.00   <2e-16 ***
DESTIN_GRID_ID153      1.657e+01  1.356e-02  1222.09   <2e-16 ***
DESTIN_GRID_ID154      1.466e+01  2.834e-02   517.33   <2e-16 ***
DESTIN_GRID_ID155      1.527e+01  1.987e-02   768.45   <2e-16 ***
DESTIN_GRID_ID156      1.605e+01  2.114e-02   759.12   <2e-16 ***
DESTIN_GRID_ID172      1.444e+01  4.499e-02   320.90   <2e-16 ***
DESTIN_GRID_ID174      1.603e+01  1.505e-02  1064.73   <2e-16 ***
DESTIN_GRID_ID175      1.599e+01  1.118e-02  1430.70   <2e-16 ***
DESTIN_GRID_ID176      1.447e+01  2.781e-02   520.29   <2e-16 ***
DESTIN_GRID_ID195      1.549e+01  3.065e-02   505.36   <2e-16 ***
DESTIN_GRID_ID196      1.617e+01  1.041e-02  1553.23   <2e-16 ***
DESTIN_GRID_ID197      1.318e+01  7.718e-02   170.82   <2e-16 ***
DESTIN_GRID_ID215      1.612e+01  2.993e-02   538.53   <2e-16 ***
DESTIN_GRID_ID216      1.540e+01  1.612e-02   955.09   <2e-16 ***
DESTIN_GRID_ID217      1.674e+01  9.444e-03  1773.03   <2e-16 ***
DESTIN_GRID_ID237      1.576e+01  3.064e-02   514.47   <2e-16 ***
DESTIN_GRID_ID238      1.602e+01  1.521e-02  1053.51   <2e-16 ***
DESTIN_GRID_ID239      1.521e+01  3.143e-02   484.04   <2e-16 ***
DESTIN_GRID_ID257      1.615e+01  1.567e-02  1031.06   <2e-16 ***
DESTIN_GRID_ID258      1.541e+01  1.933e-02   796.97   <2e-16 ***
DESTIN_GRID_ID259      1.657e+01  1.212e-02  1366.41   <2e-16 ***
DESTIN_GRID_ID278      1.641e+01  1.402e-02  1170.70   <2e-16 ***
DESTIN_GRID_ID279      1.617e+01  1.345e-02  1201.99   <2e-16 ***
DESTIN_GRID_ID280      1.640e+01  1.265e-02  1296.83   <2e-16 ***
DESTIN_GRID_ID298      1.303e+01  1.508e-01    86.45   <2e-16 ***
DESTIN_GRID_ID299      1.662e+01  1.640e-02  1013.09   <2e-16 ***
DESTIN_GRID_ID300      1.529e+01  1.725e-02   886.32   <2e-16 ***
DESTIN_GRID_ID320      1.711e+01  1.397e-02  1224.95   <2e-16 ***
DESTIN_GRID_ID321      1.551e+01  2.392e-02   648.31   <2e-16 ***
DESTIN_GRID_ID322      1.742e+01  1.188e-02  1466.26   <2e-16 ***
DESTIN_GRID_ID340      1.758e+01  1.092e-02  1609.31   <2e-16 ***
DESTIN_GRID_ID341      1.644e+01  1.235e-02  1330.60   <2e-16 ***
DESTIN_GRID_ID342      1.698e+01  1.059e-02  1603.61   <2e-16 ***
DESTIN_GRID_ID363      1.670e+01  1.334e-02  1251.67   <2e-16 ***
DESTIN_GRID_ID364      1.781e+01  7.937e-03  2243.98   <2e-16 ***
DESTIN_GRID_ID383      1.678e+01  9.138e-03  1836.27   <2e-16 ***
DESTIN_GRID_ID384      1.733e+01  8.474e-03  2045.61   <2e-16 ***
DESTIN_GRID_ID385      1.678e+01  1.521e-02  1103.36   <2e-16 ***
DESTIN_GRID_ID404      1.742e+01  1.260e-02  1382.55   <2e-16 ***
DESTIN_GRID_ID405      1.713e+01  1.054e-02  1625.21   <2e-16 ***
DESTIN_GRID_ID406      1.660e+01  5.475e-03  3032.03   <2e-16 ***
DESTIN_GRID_ID407      1.679e+01  9.625e-03  1744.81   <2e-16 ***
DESTIN_GRID_ID408      1.769e+01  5.291e-03  3343.97   <2e-16 ***
DESTIN_GRID_ID425      1.517e+01  2.491e-02   608.80   <2e-16 ***
DESTIN_GRID_ID426      1.637e+01  1.034e-02  1582.20   <2e-16 ***
DESTIN_GRID_ID427      1.343e+01  2.652e-02   506.59   <2e-16 ***
DESTIN_GRID_ID428      1.573e+01  1.174e-02  1340.46   <2e-16 ***
DESTIN_GRID_ID429      1.534e+01  2.384e-02   643.58   <2e-16 ***
DESTIN_GRID_ID446      1.608e+01  2.314e-02   694.99   <2e-16 ***
DESTIN_GRID_ID447      1.556e+01  1.720e-02   904.29   <2e-16 ***
DESTIN_GRID_ID448      1.597e+01  1.178e-02  1356.11   <2e-16 ***
DESTIN_GRID_ID449      1.603e+01  7.431e-03  2156.80   <2e-16 ***
DESTIN_GRID_ID450      1.529e+01  1.273e-02  1201.63   <2e-16 ***
DESTIN_GRID_ID468      1.622e+01  1.099e-02  1475.19   <2e-16 ***
DESTIN_GRID_ID469      1.545e+01  8.716e-03  1773.15   <2e-16 ***
DESTIN_GRID_ID470      1.571e+01  7.603e-03  2066.81   <2e-16 ***
DESTIN_GRID_ID471      1.539e+01  1.726e-02   891.64   <2e-16 ***
DESTIN_GRID_ID488      1.551e+01  2.218e-02   699.09   <2e-16 ***
DESTIN_GRID_ID489      1.403e+01  4.805e-02   291.92   <2e-16 ***
DESTIN_GRID_ID490      1.621e+01  8.929e-03  1815.31   <2e-16 ***
DESTIN_GRID_ID491      1.396e+01  1.688e-02   826.62   <2e-16 ***
DESTIN_GRID_ID493      1.330e+01  4.890e-02   271.88   <2e-16 ***
DESTIN_GRID_ID494      1.521e+01  2.318e-02   656.09   <2e-16 ***
DESTIN_GRID_ID509      1.547e+01  1.530e-02  1011.18   <2e-16 ***
DESTIN_GRID_ID510      1.621e+01  1.021e-02  1587.56   <2e-16 ***
DESTIN_GRID_ID511      1.569e+01  7.144e-03  2195.66   <2e-16 ***
DESTIN_GRID_ID512      1.545e+01  7.234e-03  2135.89   <2e-16 ***
DESTIN_GRID_ID513      1.634e+01  8.248e-03  1981.23   <2e-16 ***
DESTIN_GRID_ID514      1.596e+01  1.189e-02  1342.41   <2e-16 ***
DESTIN_GRID_ID515      1.474e+01  3.197e-02   461.17   <2e-16 ***
DESTIN_GRID_ID530      1.516e+01  2.905e-02   521.73   <2e-16 ***
DESTIN_GRID_ID531      1.737e+01  6.207e-03  2798.10   <2e-16 ***
DESTIN_GRID_ID532      1.590e+01  9.108e-03  1746.11   <2e-16 ***
DESTIN_GRID_ID533      1.721e+01  3.532e-03  4873.02   <2e-16 ***
DESTIN_GRID_ID534      1.561e+01  7.265e-03  2148.99   <2e-16 ***
DESTIN_GRID_ID536      1.500e+01  1.834e-02   817.45   <2e-16 ***
DESTIN_GRID_ID537      1.469e+01  3.473e-02   423.14   <2e-16 ***
DESTIN_GRID_ID538      1.413e+01  4.421e-02   319.60   <2e-16 ***
DESTIN_GRID_ID539      1.284e+01  2.673e-01    48.06   <2e-16 ***
DESTIN_GRID_ID551      1.581e+01  1.775e-02   890.80   <2e-16 ***
DESTIN_GRID_ID552      1.757e+01  1.085e-02  1619.88   <2e-16 ***
DESTIN_GRID_ID553      1.536e+01  8.925e-03  1720.72   <2e-16 ***
DESTIN_GRID_ID554      1.534e+01  7.378e-03  2078.81   <2e-16 ***
DESTIN_GRID_ID555      1.628e+01  7.888e-03  2064.17   <2e-16 ***
DESTIN_GRID_ID559      1.455e+01  5.374e-02   270.72   <2e-16 ***
DESTIN_GRID_ID560      1.612e+01  1.683e-02   957.44   <2e-16 ***
DESTIN_GRID_ID561      1.451e+01  6.762e-02   214.57   <2e-16 ***
DESTIN_GRID_ID572      1.577e+01  3.451e-02   456.82   <2e-16 ***
DESTIN_GRID_ID573      1.677e+01  1.041e-02  1611.42   <2e-16 ***
DESTIN_GRID_ID574      1.616e+01  1.581e-02  1022.21   <2e-16 ***
DESTIN_GRID_ID575      1.783e+01  2.804e-03  6357.69   <2e-16 ***
DESTIN_GRID_ID576      1.565e+01  6.710e-03  2331.83   <2e-16 ***
DESTIN_GRID_ID578      1.230e+01  1.072e-01   114.70   <2e-16 ***
DESTIN_GRID_ID582      1.381e+01  6.316e-02   218.60   <2e-16 ***
DESTIN_GRID_ID583      1.270e+01  3.780e-01    33.61   <2e-16 ***
DESTIN_GRID_ID584      1.549e+01  3.615e-02   428.44   <2e-16 ***
DESTIN_GRID_ID593      1.454e+01  2.564e-02   567.09   <2e-16 ***
DESTIN_GRID_ID594      1.601e+01  1.390e-02  1151.60   <2e-16 ***
DESTIN_GRID_ID595      1.638e+01  6.158e-03  2660.34   <2e-16 ***
DESTIN_GRID_ID596      1.582e+01  5.472e-03  2891.40   <2e-16 ***
DESTIN_GRID_ID597      1.532e+01  1.559e-02   982.10   <2e-16 ***
DESTIN_GRID_ID603      1.393e+01  5.275e-02   264.17   <2e-16 ***
DESTIN_GRID_ID604      1.504e+01  5.084e-02   295.81   <2e-16 ***
DESTIN_GRID_ID615      1.501e+01  1.486e-02  1010.57   <2e-16 ***
DESTIN_GRID_ID616      1.592e+01  9.253e-03  1720.92   <2e-16 ***
DESTIN_GRID_ID617      1.495e+01  9.380e-03  1594.14   <2e-16 ***
DESTIN_GRID_ID618      1.537e+01  7.070e-03  2173.89   <2e-16 ***
DESTIN_GRID_ID620      1.607e+01  1.104e-02  1455.60   <2e-16 ***
DESTIN_GRID_ID637      1.556e+01  1.105e-02  1407.89   <2e-16 ***
DESTIN_GRID_ID638      1.544e+01  6.506e-03  2372.71   <2e-16 ***
DESTIN_GRID_ID657      1.639e+01  7.258e-03  2258.91   <2e-16 ***
DESTIN_GRID_ID658      1.581e+01  6.478e-03  2440.97   <2e-16 ***
DESTIN_GRID_ID659      1.576e+01  6.124e-03  2574.16   <2e-16 ***
DESTIN_GRID_ID660      1.615e+01  4.781e-03  3378.76   <2e-16 ***
DESTIN_GRID_ID662      1.587e+01  1.251e-02  1268.12   <2e-16 ***
DESTIN_GRID_ID677      1.642e+01  9.591e-03  1711.55   <2e-16 ***
DESTIN_GRID_ID678      1.471e+01  1.420e-02  1035.46   <2e-16 ***
DESTIN_GRID_ID679      1.604e+01  5.412e-03  2963.84   <2e-16 ***
DESTIN_GRID_ID680      1.764e+01  2.959e-03  5960.15   <2e-16 ***
DESTIN_GRID_ID681      1.396e+01  2.066e-02   675.88   <2e-16 ***
DESTIN_GRID_ID699      1.595e+01  9.244e-03  1725.58   <2e-16 ***
DESTIN_GRID_ID700      1.551e+01  7.573e-03  2048.18   <2e-16 ***
DESTIN_GRID_ID701      1.326e+01  2.321e-02   571.31   <2e-16 ***
DESTIN_GRID_ID702      1.587e+01  5.354e-03  2963.98   <2e-16 ***
DESTIN_GRID_ID704      1.590e+01  1.112e-02  1429.09   <2e-16 ***
DESTIN_GRID_ID722      1.538e+01  9.153e-03  1680.56   <2e-16 ***
DESTIN_GRID_ID725      1.381e+01  2.769e-02   498.72   <2e-16 ***
DESTIN_GRID_ID741      1.644e+01  7.438e-03  2209.53   <2e-16 ***
DESTIN_GRID_ID743      1.301e+01  2.482e-02   524.22   <2e-16 ***
DESTIN_GRID_ID744      1.595e+01  5.443e-03  2930.37   <2e-16 ***
DESTIN_GRID_ID761      1.663e+01  8.545e-03  1946.51   <2e-16 ***
DESTIN_GRID_ID762      1.471e+01  1.430e-02  1028.84   <2e-16 ***
DESTIN_GRID_ID763      1.327e+01  2.229e-02   595.60   <2e-16 ***
DESTIN_GRID_ID764      1.635e+01  4.189e-03  3902.82   <2e-16 ***
DESTIN_GRID_ID765      1.582e+01  9.862e-03  1604.58   <2e-16 ***
DESTIN_GRID_ID767      1.583e+01  7.309e-03  2165.28   <2e-16 ***
DESTIN_GRID_ID772      1.459e+01  4.116e-02   354.46   <2e-16 ***
DESTIN_GRID_ID784      1.359e+01  2.306e-02   589.12   <2e-16 ***
DESTIN_GRID_ID785      1.546e+01  6.130e-03  2521.38   <2e-16 ***
DESTIN_GRID_ID786      1.578e+01  5.343e-03  2952.72   <2e-16 ***
DESTIN_GRID_ID787      1.523e+01  1.124e-02  1354.22   <2e-16 ***
DESTIN_GRID_ID788      1.401e+01  1.719e-02   815.02   <2e-16 ***
DESTIN_GRID_ID789      1.420e+01  1.878e-02   755.67   <2e-16 ***
DESTIN_GRID_ID803      1.556e+01  1.419e-02  1096.62   <2e-16 ***
DESTIN_GRID_ID804      1.597e+01  6.732e-03  2372.80   <2e-16 ***
DESTIN_GRID_ID805      1.700e+01  3.465e-03  4906.74   <2e-16 ***
DESTIN_GRID_ID806      1.543e+01  6.216e-03  2481.64   <2e-16 ***
DESTIN_GRID_ID807      1.558e+01  7.647e-03  2037.99   <2e-16 ***
DESTIN_GRID_ID808      1.428e+01  1.813e-02   787.66   <2e-16 ***
DESTIN_GRID_ID809      1.576e+01  5.730e-03  2751.16   <2e-16 ***
DESTIN_GRID_ID810      1.559e+01  8.577e-03  1817.21   <2e-16 ***
DESTIN_GRID_ID814      1.545e+01  2.054e-02   752.15   <2e-16 ***
DESTIN_GRID_ID819      2.029e+01  1.604e-02  1264.94   <2e-16 ***
DESTIN_GRID_ID824      1.562e+01  1.401e-02  1115.30   <2e-16 ***
DESTIN_GRID_ID826      1.558e+01  6.483e-03  2403.08   <2e-16 ***
DESTIN_GRID_ID827      1.539e+01  6.979e-03  2205.20   <2e-16 ***
DESTIN_GRID_ID828      1.568e+01  5.535e-03  2832.80   <2e-16 ***
DESTIN_GRID_ID829      1.523e+01  8.511e-03  1788.92   <2e-16 ***
DESTIN_GRID_ID830      1.418e+01  1.490e-02   951.09   <2e-16 ***
DESTIN_GRID_ID831      1.739e+01  3.082e-03  5642.52   <2e-16 ***
DESTIN_GRID_ID832      1.746e+01  3.808e-03  4586.44   <2e-16 ***
DESTIN_GRID_ID835      1.500e+01  2.083e-02   720.18   <2e-16 ***
DESTIN_GRID_ID844      1.541e+01  1.864e-02   826.75   <2e-16 ***
DESTIN_GRID_ID846      1.551e+01  7.583e-03  2045.53   <2e-16 ***
DESTIN_GRID_ID847      1.630e+01  5.118e-03  3185.13   <2e-16 ***
DESTIN_GRID_ID848      1.530e+01  6.958e-03  2198.58   <2e-16 ***
DESTIN_GRID_ID849      1.486e+01  8.603e-03  1727.32   <2e-16 ***
DESTIN_GRID_ID850      1.573e+01  5.866e-03  2681.74   <2e-16 ***
DESTIN_GRID_ID851      1.526e+01  7.024e-03  2172.29   <2e-16 ***
DESTIN_GRID_ID852      1.533e+01  8.555e-03  1791.66   <2e-16 ***
DESTIN_GRID_ID853      1.590e+01  9.182e-03  1731.11   <2e-16 ***
DESTIN_GRID_ID854      1.579e+01  1.438e-02  1097.93   <2e-16 ***
DESTIN_GRID_ID855      1.488e+01  2.010e-02   740.26   <2e-16 ***
DESTIN_GRID_ID856      1.429e+01  3.198e-02   446.81   <2e-16 ***
DESTIN_GRID_ID866      1.612e+01  1.007e-02  1601.16   <2e-16 ***
DESTIN_GRID_ID867      1.687e+01  4.977e-03  3389.92   <2e-16 ***
DESTIN_GRID_ID868      1.636e+01  6.015e-03  2719.74   <2e-16 ***
DESTIN_GRID_ID869      1.728e+01  5.298e-03  3261.95   <2e-16 ***
DESTIN_GRID_ID870      1.690e+01  3.396e-03  4976.37   <2e-16 ***
DESTIN_GRID_ID871      1.715e+01  4.239e-03  4044.53   <2e-16 ***
DESTIN_GRID_ID872      1.563e+01  6.392e-03  2445.24   <2e-16 ***
DESTIN_GRID_ID873      1.528e+01  8.901e-03  1716.89   <2e-16 ***
DESTIN_GRID_ID874      1.422e+01  1.393e-02  1021.18   <2e-16 ***
DESTIN_GRID_ID875      1.445e+01  2.743e-02   526.87   <2e-16 ***
DESTIN_GRID_ID876      1.504e+01  1.899e-02   792.02   <2e-16 ***
DESTIN_GRID_ID877      1.575e+01  1.436e-02  1097.39   <2e-16 ***
DESTIN_GRID_ID887      1.556e+01  9.224e-03  1686.91   <2e-16 ***
DESTIN_GRID_ID888      1.430e+01  1.491e-02   959.20   <2e-16 ***
DESTIN_GRID_ID889      1.526e+01  1.305e-02  1168.60   <2e-16 ***
DESTIN_GRID_ID890      1.601e+01  5.444e-03  2941.34   <2e-16 ***
DESTIN_GRID_ID891      1.484e+01  1.527e-02   971.54   <2e-16 ***
DESTIN_GRID_ID893      1.614e+01  4.816e-03  3352.18   <2e-16 ***
DESTIN_GRID_ID894      1.457e+01  1.155e-02  1262.14   <2e-16 ***
DESTIN_GRID_ID895      1.563e+01  9.266e-03  1687.28   <2e-16 ***
DESTIN_GRID_ID896      1.368e+01  3.377e-02   405.06   <2e-16 ***
DESTIN_GRID_ID897      1.353e+01  3.176e-02   426.12   <2e-16 ***
DESTIN_GRID_ID898      1.553e+01  1.656e-02   937.91   <2e-16 ***
DESTIN_GRID_ID908      1.623e+01  1.100e-02  1475.49   <2e-16 ***
DESTIN_GRID_ID909      1.556e+01  6.755e-03  2303.06   <2e-16 ***
DESTIN_GRID_ID910      1.472e+01  1.194e-02  1232.97   <2e-16 ***
DESTIN_GRID_ID911      1.679e+01  4.406e-03  3809.30   <2e-16 ***
DESTIN_GRID_ID912      1.509e+01  8.265e-03  1825.46   <2e-16 ***
DESTIN_GRID_ID915      1.562e+01  6.313e-03  2474.77   <2e-16 ***
DESTIN_GRID_ID917      1.677e+01  5.886e-03  2848.78   <2e-16 ***
DESTIN_GRID_ID918      1.342e+01  4.013e-02   334.36   <2e-16 ***
DESTIN_GRID_ID919      1.484e+01  1.647e-02   900.97   <2e-16 ***
DESTIN_GRID_ID928      1.435e+01  1.905e-02   753.43   <2e-16 ***
DESTIN_GRID_ID929      1.526e+01  7.872e-03  1938.53   <2e-16 ***
DESTIN_GRID_ID930      1.647e+01  4.265e-03  3862.01   <2e-16 ***
DESTIN_GRID_ID931      1.516e+01  1.086e-02  1396.88   <2e-16 ***
DESTIN_GRID_ID932      1.372e+01  2.526e-02   543.09   <2e-16 ***
DESTIN_GRID_ID933      1.560e+01  8.385e-03  1860.02   <2e-16 ***
DESTIN_GRID_ID934      1.552e+01  7.986e-03  1943.12   <2e-16 ***
DESTIN_GRID_ID935      1.736e+01  3.065e-03  5664.95   <2e-16 ***
DESTIN_GRID_ID938      1.246e+01  1.429e-01    87.22   <2e-16 ***
DESTIN_GRID_ID939      1.760e+01  4.032e-03  4365.35   <2e-16 ***
DESTIN_GRID_ID940      1.467e+01  2.088e-02   702.76   <2e-16 ***
DESTIN_GRID_ID949      1.455e+01  1.571e-02   926.59   <2e-16 ***
DESTIN_GRID_ID950      1.658e+01  5.455e-03  3039.10   <2e-16 ***
DESTIN_GRID_ID951      1.722e+01  3.286e-03  5239.28   <2e-16 ***
DESTIN_GRID_ID952      1.627e+01  8.080e-03  2014.01   <2e-16 ***
DESTIN_GRID_ID953      1.545e+01  9.181e-03  1683.29   <2e-16 ***
DESTIN_GRID_ID954      1.383e+01  1.800e-02   768.40   <2e-16 ***
DESTIN_GRID_ID955      1.655e+01  4.935e-03  3353.68   <2e-16 ***
DESTIN_GRID_ID956      1.494e+01  9.784e-03  1526.60   <2e-16 ***
DESTIN_GRID_ID957      1.523e+01  9.676e-03  1573.91   <2e-16 ***
DESTIN_GRID_ID959      1.540e+01  1.942e-02   792.96   <2e-16 ***
DESTIN_GRID_ID961      1.543e+01  1.256e-02  1228.78   <2e-16 ***
DESTIN_GRID_ID962      1.704e+01  6.069e-03  2807.08   <2e-16 ***
DESTIN_GRID_ID970      1.544e+01  8.273e-03  1865.93   <2e-16 ***
DESTIN_GRID_ID971      1.600e+01  5.049e-03  3169.66   <2e-16 ***
DESTIN_GRID_ID972      1.523e+01  7.923e-03  1922.44   <2e-16 ***
DESTIN_GRID_ID974      1.485e+01  1.155e-02  1285.80   <2e-16 ***
DESTIN_GRID_ID975      1.399e+01  1.786e-02   783.24   <2e-16 ***
DESTIN_GRID_ID976      1.480e+01  1.107e-02  1336.99   <2e-16 ***
DESTIN_GRID_ID977      1.535e+01  7.025e-03  2185.23   <2e-16 ***
DESTIN_GRID_ID978      1.502e+01  1.174e-02  1279.51   <2e-16 ***
DESTIN_GRID_ID982      1.472e+01  1.164e-02  1264.44   <2e-16 ***
DESTIN_GRID_ID983      1.893e+01  4.162e-03  4548.44   <2e-16 ***
DESTIN_GRID_ID984      1.984e+01  5.235e-03  3789.22   <2e-16 ***
DESTIN_GRID_ID991      1.588e+01  7.612e-03  2086.08   <2e-16 ***
DESTIN_GRID_ID992      1.575e+01  6.879e-03  2289.93   <2e-16 ***
DESTIN_GRID_ID993      1.468e+01  1.016e-02  1445.25   <2e-16 ***
DESTIN_GRID_ID994      1.448e+01  1.258e-02  1151.22   <2e-16 ***
DESTIN_GRID_ID995      1.526e+01  8.944e-03  1705.83   <2e-16 ***
DESTIN_GRID_ID996      1.486e+01  1.232e-02  1206.15   <2e-16 ***
DESTIN_GRID_ID997      1.585e+01  1.321e-02  1200.13   <2e-16 ***
DESTIN_GRID_ID998      1.589e+01  6.503e-03  2443.37   <2e-16 ***
DESTIN_GRID_ID999      1.492e+01  1.113e-02  1340.43   <2e-16 ***
DESTIN_GRID_ID1001     1.555e+01  1.557e-02   999.00   <2e-16 ***
DESTIN_GRID_ID1003     1.718e+01  3.705e-03  4636.95   <2e-16 ***
DESTIN_GRID_ID1004     1.628e+01  5.653e-03  2880.62   <2e-16 ***
DESTIN_GRID_ID1011     1.558e+01  1.241e-02  1255.33   <2e-16 ***
DESTIN_GRID_ID1012     1.642e+01  7.964e-03  2061.93   <2e-16 ***
DESTIN_GRID_ID1013     1.584e+01  7.241e-03  2187.12   <2e-16 ***
DESTIN_GRID_ID1014     1.375e+01  1.824e-02   754.02   <2e-16 ***
DESTIN_GRID_ID1015     1.623e+01  5.551e-03  2923.46   <2e-16 ***
DESTIN_GRID_ID1016     1.679e+01  4.465e-03  3760.94   <2e-16 ***
DESTIN_GRID_ID1018     1.514e+01  1.283e-02  1180.09   <2e-16 ***
DESTIN_GRID_ID1019     1.576e+01  6.795e-03  2318.70   <2e-16 ***
DESTIN_GRID_ID1023     1.470e+01  1.408e-02  1044.06   <2e-16 ***
DESTIN_GRID_ID1024     1.594e+01  6.504e-03  2451.28   <2e-16 ***
DESTIN_GRID_ID1025     1.147e+01  1.032e-01   111.20   <2e-16 ***
DESTIN_GRID_ID1033     1.627e+01  6.675e-03  2438.02   <2e-16 ***
DESTIN_GRID_ID1034     1.639e+01  5.167e-03  3172.10   <2e-16 ***
DESTIN_GRID_ID1035     1.624e+01  5.362e-03  3027.94   <2e-16 ***
DESTIN_GRID_ID1036     1.651e+01  4.965e-03  3325.08   <2e-16 ***
DESTIN_GRID_ID1037     1.547e+01  7.141e-03  2166.87   <2e-16 ***
DESTIN_GRID_ID1043     1.620e+01  1.125e-02  1439.57   <2e-16 ***
DESTIN_GRID_ID1045     1.569e+01  6.353e-03  2470.11   <2e-16 ***
DESTIN_GRID_ID1046     1.604e+01  6.238e-03  2571.65   <2e-16 ***
DESTIN_GRID_ID1053     1.661e+01  5.402e-03  3075.47   <2e-16 ***
DESTIN_GRID_ID1054     1.625e+01  5.705e-03  2847.97   <2e-16 ***
DESTIN_GRID_ID1055     1.514e+01  9.504e-03  1593.02   <2e-16 ***
DESTIN_GRID_ID1056     1.473e+01  1.193e-02  1234.89   <2e-16 ***
DESTIN_GRID_ID1064     1.328e+01  8.740e-02   151.97   <2e-16 ***
DESTIN_GRID_ID1066     1.673e+01  4.419e-03  3785.32   <2e-16 ***
DESTIN_GRID_ID1067     1.144e+01  1.429e-01    80.04   <2e-16 ***
DESTIN_GRID_ID1074     1.450e+01  1.521e-02   953.42   <2e-16 ***
DESTIN_GRID_ID1075     1.599e+01  7.314e-03  2186.33   <2e-16 ***
DESTIN_GRID_ID1076     1.545e+01  7.491e-03  2063.04   <2e-16 ***
DESTIN_GRID_ID1077     1.491e+01  1.074e-02  1387.69   <2e-16 ***
DESTIN_GRID_ID1079     1.598e+01  6.574e-03  2430.81   <2e-16 ***
DESTIN_GRID_ID1085     1.442e+01  4.817e-02   299.33   <2e-16 ***
DESTIN_GRID_ID1087     1.583e+01  6.536e-03  2421.64   <2e-16 ***
DESTIN_GRID_ID1088     1.634e+01  5.927e-03  2756.20   <2e-16 ***
DESTIN_GRID_ID1094     1.255e+01  5.595e-02   224.41   <2e-16 ***
DESTIN_GRID_ID1095     1.561e+01  1.566e-02   996.54   <2e-16 ***
DESTIN_GRID_ID1096     1.528e+01  1.636e-02   934.12   <2e-16 ***
DESTIN_GRID_ID1097     1.633e+01  4.782e-03  3414.11   <2e-16 ***
DESTIN_GRID_ID1098     1.390e+01  2.376e-02   585.24   <2e-16 ***
DESTIN_GRID_ID1099     1.527e+01  8.847e-03  1726.39   <2e-16 ***
DESTIN_GRID_ID1105     1.700e+01  9.259e-03  1836.54   <2e-16 ***
DESTIN_GRID_ID1106     1.270e+01  9.495e-02   133.76   <2e-16 ***
DESTIN_GRID_ID1107     1.609e+01  7.763e-03  2072.59   <2e-16 ***
DESTIN_GRID_ID1108     1.789e+01  2.729e-03  6554.51   <2e-16 ***
DESTIN_GRID_ID1109     1.354e+01  3.516e-02   384.99   <2e-16 ***
DESTIN_GRID_ID1116     1.552e+01  9.054e-03  1714.52   <2e-16 ***
DESTIN_GRID_ID1117     1.577e+01  8.323e-03  1894.68   <2e-16 ***
DESTIN_GRID_ID1118     1.392e+01  2.010e-02   692.30   <2e-16 ***
DESTIN_GRID_ID1119     1.466e+01  1.177e-02  1246.03   <2e-16 ***
DESTIN_GRID_ID1120     1.439e+01  1.902e-02   756.38   <2e-16 ***
DESTIN_GRID_ID1129     1.526e+01  8.455e-03  1804.52   <2e-16 ***
DESTIN_GRID_ID1130     1.600e+01  5.843e-03  2738.30   <2e-16 ***
DESTIN_GRID_ID1131     1.706e+01  6.836e-03  2495.70   <2e-16 ***
DESTIN_GRID_ID1136     1.653e+01  5.623e-03  2939.45   <2e-16 ***
DESTIN_GRID_ID1138     1.434e+01  1.961e-02   731.36   <2e-16 ***
DESTIN_GRID_ID1139     1.514e+01  8.164e-03  1854.69   <2e-16 ***
DESTIN_GRID_ID1141     1.531e+01  8.746e-03  1750.20   <2e-16 ***
DESTIN_GRID_ID1148     1.454e+01  3.029e-02   480.01   <2e-16 ***
DESTIN_GRID_ID1149     1.497e+01  1.417e-02  1056.80   <2e-16 ***
DESTIN_GRID_ID1150     1.516e+01  7.408e-03  2046.37   <2e-16 ***
DESTIN_GRID_ID1151     1.581e+01  6.863e-03  2304.31   <2e-16 ***
DESTIN_GRID_ID1158     1.443e+01  1.235e-02  1168.36   <2e-16 ***
DESTIN_GRID_ID1159     1.469e+01  1.022e-02  1436.89   <2e-16 ***
DESTIN_GRID_ID1160     1.631e+01  4.803e-03  3395.74   <2e-16 ***
DESTIN_GRID_ID1171     1.585e+01  6.311e-03  2511.86   <2e-16 ***
DESTIN_GRID_ID1172     1.724e+01  3.365e-03  5123.59   <2e-16 ***
DESTIN_GRID_ID1173     1.670e+01  5.415e-03  3084.34   <2e-16 ***
DESTIN_GRID_ID1174     1.407e+01  4.065e-02   346.04   <2e-16 ***
DESTIN_GRID_ID1178     1.665e+01  4.445e-03  3745.76   <2e-16 ***
DESTIN_GRID_ID1179     1.569e+01  5.979e-03  2624.34   <2e-16 ***
DESTIN_GRID_ID1180     1.590e+01  5.410e-03  2938.41   <2e-16 ***
DESTIN_GRID_ID1181     1.485e+01  9.690e-03  1532.11   <2e-16 ***
DESTIN_GRID_ID1183     1.678e+01  4.877e-03  3440.54   <2e-16 ***
DESTIN_GRID_ID1190     1.497e+01  2.615e-02   572.38   <2e-16 ***
DESTIN_GRID_ID1192     1.609e+01  5.672e-03  2836.53   <2e-16 ***
DESTIN_GRID_ID1193     1.616e+01  5.557e-03  2908.54   <2e-16 ***
DESTIN_GRID_ID1194     1.656e+01  6.235e-03  2655.25   <2e-16 ***
DESTIN_GRID_ID1200     1.534e+01  8.204e-03  1870.02   <2e-16 ***
DESTIN_GRID_ID1201     1.515e+01  8.409e-03  1801.72   <2e-16 ***
DESTIN_GRID_ID1203     1.523e+01  9.021e-03  1688.60   <2e-16 ***
DESTIN_GRID_ID1204     1.521e+01  9.423e-03  1613.71   <2e-16 ***
DESTIN_GRID_ID1211     1.090e+01  4.472e-01    24.36   <2e-16 ***
DESTIN_GRID_ID1214     1.492e+01  9.275e-03  1608.18   <2e-16 ***
DESTIN_GRID_ID1215     1.585e+01  1.183e-02  1339.59   <2e-16 ***
DESTIN_GRID_ID1216     1.626e+01  1.009e-02  1610.96   <2e-16 ***
DESTIN_GRID_ID1220     1.558e+01  6.928e-03  2248.97   <2e-16 ***
DESTIN_GRID_ID1221     1.611e+01  4.916e-03  3277.42   <2e-16 ***
DESTIN_GRID_ID1222     1.515e+01  1.351e-02  1121.69   <2e-16 ***
DESTIN_GRID_ID1223     1.458e+01  1.356e-02  1074.90   <2e-16 ***
DESTIN_GRID_ID1224     1.545e+01  8.423e-03  1834.45   <2e-16 ***
DESTIN_GRID_ID1231     1.329e+01  6.341e-02   209.53   <2e-16 ***
DESTIN_GRID_ID1232     1.517e+01  2.194e-02   691.29   <2e-16 ***
DESTIN_GRID_ID1235     1.585e+01  6.121e-03  2589.38   <2e-16 ***
DESTIN_GRID_ID1236     1.567e+01  8.594e-03  1823.03   <2e-16 ***
DESTIN_GRID_ID1241     1.447e+01  1.290e-02  1121.71   <2e-16 ***
DESTIN_GRID_ID1242     1.476e+01  9.953e-03  1482.57   <2e-16 ***
DESTIN_GRID_ID1243     1.594e+01  5.596e-03  2848.25   <2e-16 ***
DESTIN_GRID_ID1246     1.492e+01  9.994e-03  1492.87   <2e-16 ***
DESTIN_GRID_ID1256     1.506e+01  9.011e-03  1671.61   <2e-16 ***
DESTIN_GRID_ID1257     1.618e+01  6.483e-03  2495.27   <2e-16 ***
DESTIN_GRID_ID1258     1.706e+01  5.428e-03  3143.23   <2e-16 ***
DESTIN_GRID_ID1262     1.411e+01  1.492e-02   945.99   <2e-16 ***
DESTIN_GRID_ID1263     1.641e+01  4.202e-03  3903.73   <2e-16 ***
DESTIN_GRID_ID1264     1.556e+01  7.905e-03  1967.98   <2e-16 ***
DESTIN_GRID_ID1265     1.566e+01  8.713e-03  1797.65   <2e-16 ***
DESTIN_GRID_ID1266     1.581e+01  7.537e-03  2097.96   <2e-16 ***
DESTIN_GRID_ID1267     1.405e+01  1.990e-02   705.77   <2e-16 ***
DESTIN_GRID_ID1272     1.157e+01  1.187e-01    97.46   <2e-16 ***
DESTIN_GRID_ID1273     1.624e+01  7.435e-03  2184.26   <2e-16 ***
DESTIN_GRID_ID1277     1.633e+01  4.821e-03  3387.90   <2e-16 ***
DESTIN_GRID_ID1278     1.600e+01  6.376e-03  2509.09   <2e-16 ***
DESTIN_GRID_ID1283     1.680e+01  4.249e-03  3953.53   <2e-16 ***
DESTIN_GRID_ID1284     1.635e+01  4.604e-03  3550.34   <2e-16 ***
DESTIN_GRID_ID1285     1.597e+01  5.295e-03  3016.21   <2e-16 ***
DESTIN_GRID_ID1286     1.524e+01  1.056e-02  1442.48   <2e-16 ***
DESTIN_GRID_ID1289     1.289e+01  4.046e-02   318.53   <2e-16 ***
DESTIN_GRID_ID1293     1.189e+01  8.740e-02   136.05   <2e-16 ***
DESTIN_GRID_ID1294     1.583e+01  9.423e-03  1679.50   <2e-16 ***
DESTIN_GRID_ID1295     1.371e+01  2.592e-02   528.92   <2e-16 ***
DESTIN_GRID_ID1298     1.549e+01  7.425e-03  2086.65   <2e-16 ***
DESTIN_GRID_ID1299     1.540e+01  9.431e-03  1632.59   <2e-16 ***
DESTIN_GRID_ID1304     1.583e+01  6.368e-03  2486.60   <2e-16 ***
DESTIN_GRID_ID1305     1.588e+01  5.111e-03  3107.72   <2e-16 ***
DESTIN_GRID_ID1307     1.474e+01  1.950e-02   756.00   <2e-16 ***
DESTIN_GRID_ID1308     1.601e+01  6.226e-03  2571.60   <2e-16 ***
DESTIN_GRID_ID1310     1.075e+01  2.236e-01    48.09   <2e-16 ***
DESTIN_GRID_ID1316     1.445e+01  1.610e-02   897.71   <2e-16 ***
DESTIN_GRID_ID1317     1.418e+01  1.458e-02   972.60   <2e-16 ***
DESTIN_GRID_ID1318     1.395e+01  1.727e-02   807.46   <2e-16 ***
DESTIN_GRID_ID1319     1.686e+01  3.988e-03  4228.38   <2e-16 ***
DESTIN_GRID_ID1320     1.482e+01  1.326e-02  1117.41   <2e-16 ***
DESTIN_GRID_ID1324     1.563e+01  2.002e-02   780.91   <2e-16 ***
DESTIN_GRID_ID1325     1.388e+01  1.684e-02   824.15   <2e-16 ***
DESTIN_GRID_ID1326     1.541e+01  6.740e-03  2286.27   <2e-16 ***
DESTIN_GRID_ID1327     1.572e+01  6.047e-03  2600.04   <2e-16 ***
DESTIN_GRID_ID1328     1.557e+01  7.491e-03  2078.05   <2e-16 ***
DESTIN_GRID_ID1329     1.559e+01  1.003e-02  1555.23   <2e-16 ***
DESTIN_GRID_ID1330     1.684e+01  5.735e-03  2936.17   <2e-16 ***
DESTIN_GRID_ID1331     1.053e+01  2.887e-01    36.48   <2e-16 ***
DESTIN_GRID_ID1333     1.413e+01  1.711e-02   825.75   <2e-16 ***
DESTIN_GRID_ID1334     1.463e+01  1.437e-02  1018.25   <2e-16 ***
DESTIN_GRID_ID1335     1.663e+01  6.096e-03  2728.18   <2e-16 ***
DESTIN_GRID_ID1336     1.339e+01  4.834e-02   276.95   <2e-16 ***
DESTIN_GRID_ID1337     1.292e+01  3.471e-02   372.13   <2e-16 ***
DESTIN_GRID_ID1338     1.312e+01  2.890e-02   454.08   <2e-16 ***
DESTIN_GRID_ID1339     1.650e+01  4.524e-03  3647.97   <2e-16 ***
DESTIN_GRID_ID1340     1.500e+01  1.035e-02  1449.59   <2e-16 ***
DESTIN_GRID_ID1341     1.178e+01  9.537e-02   123.47   <2e-16 ***
DESTIN_GRID_ID1346     1.555e+01  8.305e-03  1872.19   <2e-16 ***
DESTIN_GRID_ID1347     1.654e+01  4.379e-03  3776.69   <2e-16 ***
DESTIN_GRID_ID1348     1.525e+01  7.752e-03  1966.91   <2e-16 ***
DESTIN_GRID_ID1349     1.633e+01  6.189e-03  2638.57   <2e-16 ***
DESTIN_GRID_ID1350     1.523e+01  1.425e-02  1068.76   <2e-16 ***
DESTIN_GRID_ID1353     1.541e+01  7.674e-03  2007.35   <2e-16 ***
DESTIN_GRID_ID1354     1.485e+01  1.046e-02  1420.23   <2e-16 ***
DESTIN_GRID_ID1355     1.466e+01  1.218e-02  1204.07   <2e-16 ***
DESTIN_GRID_ID1357     1.423e+01  1.966e-02   723.92   <2e-16 ***
DESTIN_GRID_ID1358     1.657e+01  4.396e-03  3769.97   <2e-16 ***
DESTIN_GRID_ID1359     1.566e+01  6.687e-03  2341.73   <2e-16 ***
DESTIN_GRID_ID1360     1.532e+01  7.436e-03  2059.80   <2e-16 ***
DESTIN_GRID_ID1361     1.521e+01  1.027e-02  1480.83   <2e-16 ***
DESTIN_GRID_ID1362     1.407e+01  2.831e-02   497.11   <2e-16 ***
DESTIN_GRID_ID1368     1.454e+01  1.054e-02  1379.84   <2e-16 ***
DESTIN_GRID_ID1369     1.479e+01  9.533e-03  1551.14   <2e-16 ***
DESTIN_GRID_ID1370     1.645e+01  4.571e-03  3598.94   <2e-16 ***
DESTIN_GRID_ID1371     1.580e+01  7.815e-03  2021.79   <2e-16 ***
DESTIN_GRID_ID1372     1.570e+01  7.306e-03  2149.42   <2e-16 ***
DESTIN_GRID_ID1373     1.268e+01  3.595e-02   352.76   <2e-16 ***
DESTIN_GRID_ID1374     1.383e+01  1.598e-02   865.80   <2e-16 ***
DESTIN_GRID_ID1375     1.568e+01  8.083e-03  1939.91   <2e-16 ***
DESTIN_GRID_ID1376     1.420e+01  1.716e-02   827.53   <2e-16 ***
DESTIN_GRID_ID1379     1.148e+01  7.764e-02   147.81   <2e-16 ***
DESTIN_GRID_ID1380     1.719e+01  3.291e-03  5222.44   <2e-16 ***
DESTIN_GRID_ID1381     1.759e+01  2.972e-03  5917.65   <2e-16 ***
DESTIN_GRID_ID1382     1.674e+01  4.995e-03  3351.88   <2e-16 ***
DESTIN_GRID_ID1383     1.427e+01  1.984e-02   719.32   <2e-16 ***
DESTIN_GRID_ID1388     1.526e+01  7.550e-03  2020.51   <2e-16 ***
DESTIN_GRID_ID1389     1.500e+01  8.386e-03  1788.34   <2e-16 ***
DESTIN_GRID_ID1390     1.542e+01  7.656e-03  2014.60   <2e-16 ***
DESTIN_GRID_ID1391     1.645e+01  5.533e-03  2973.09   <2e-16 ***
DESTIN_GRID_ID1392     1.647e+01  1.168e-02  1409.84   <2e-16 ***
DESTIN_GRID_ID1393     1.512e+01  8.755e-03  1726.54   <2e-16 ***
DESTIN_GRID_ID1394     1.531e+01  6.830e-03  2241.87   <2e-16 ***
DESTIN_GRID_ID1395     1.496e+01  8.004e-03  1868.74   <2e-16 ***
DESTIN_GRID_ID1396     1.585e+01  5.743e-03  2759.60   <2e-16 ***
DESTIN_GRID_ID1397     1.492e+01  8.985e-03  1660.94   <2e-16 ***
DESTIN_GRID_ID1398     1.469e+01  1.474e-02   996.62   <2e-16 ***
DESTIN_GRID_ID1400     1.481e+01  1.122e-02  1319.25   <2e-16 ***
DESTIN_GRID_ID1401     1.706e+01  3.243e-03  5260.90   <2e-16 ***
DESTIN_GRID_ID1402     1.587e+01  5.785e-03  2743.87   <2e-16 ***
DESTIN_GRID_ID1404     1.499e+01  2.633e-02   569.55   <2e-16 ***
DESTIN_GRID_ID1410     1.580e+01  5.711e-03  2766.72   <2e-16 ***
DESTIN_GRID_ID1411     1.534e+01  8.226e-03  1864.96   <2e-16 ***
DESTIN_GRID_ID1412     1.616e+01  5.182e-03  3118.67   <2e-16 ***
DESTIN_GRID_ID1413     1.561e+01  7.205e-03  2166.87   <2e-16 ***
DESTIN_GRID_ID1414     1.548e+01  6.497e-03  2382.56   <2e-16 ***
DESTIN_GRID_ID1415     1.578e+01  5.977e-03  2640.18   <2e-16 ***
DESTIN_GRID_ID1416     1.533e+01  7.539e-03  2033.76   <2e-16 ***
DESTIN_GRID_ID1417     1.553e+01  5.854e-03  2652.09   <2e-16 ***
DESTIN_GRID_ID1418     1.558e+01  6.224e-03  2502.92   <2e-16 ***
DESTIN_GRID_ID1419     1.529e+01  8.003e-03  1910.21   <2e-16 ***
DESTIN_GRID_ID1422     1.577e+01  6.170e-03  2555.63   <2e-16 ***
DESTIN_GRID_ID1423     1.616e+01  5.396e-03  2995.26   <2e-16 ***
DESTIN_GRID_ID1430     1.600e+01  5.891e-03  2715.34   <2e-16 ***
DESTIN_GRID_ID1431     1.633e+01  4.719e-03  3459.55   <2e-16 ***
DESTIN_GRID_ID1432     1.616e+01  4.926e-03  3279.64   <2e-16 ***
DESTIN_GRID_ID1433     1.564e+01  1.027e-02  1522.68   <2e-16 ***
DESTIN_GRID_ID1434     1.632e+01  4.768e-03  3423.59   <2e-16 ***
DESTIN_GRID_ID1435     1.590e+01  5.284e-03  3009.80   <2e-16 ***
DESTIN_GRID_ID1436     1.452e+01  1.113e-02  1304.45   <2e-16 ***
DESTIN_GRID_ID1437     1.522e+01  7.006e-03  2173.15   <2e-16 ***
DESTIN_GRID_ID1438     1.583e+01  4.853e-03  3261.83   <2e-16 ***
DESTIN_GRID_ID1439     1.661e+01  4.025e-03  4127.37   <2e-16 ***
DESTIN_GRID_ID1440     1.602e+01  7.085e-03  2261.34   <2e-16 ***
DESTIN_GRID_ID1442     1.374e+01  1.885e-02   728.70   <2e-16 ***
DESTIN_GRID_ID1443     1.588e+01  6.071e-03  2615.35   <2e-16 ***
DESTIN_GRID_ID1444     1.684e+01  5.687e-03  2961.47   <2e-16 ***
DESTIN_GRID_ID1452     1.673e+01  4.008e-03  4174.14   <2e-16 ***
DESTIN_GRID_ID1453     1.584e+01  6.135e-03  2582.59   <2e-16 ***
DESTIN_GRID_ID1454     1.486e+01  1.315e-02  1130.25   <2e-16 ***
DESTIN_GRID_ID1455     1.564e+01  7.688e-03  2034.53   <2e-16 ***
DESTIN_GRID_ID1456     1.565e+01  6.479e-03  2414.75   <2e-16 ***
DESTIN_GRID_ID1457     1.630e+01  5.166e-03  3155.47   <2e-16 ***
DESTIN_GRID_ID1458     1.700e+01  3.254e-03  5226.43   <2e-16 ***
DESTIN_GRID_ID1459     1.449e+01  9.264e-03  1564.08   <2e-16 ***
DESTIN_GRID_ID1460     1.581e+01  5.082e-03  3112.00   <2e-16 ***
DESTIN_GRID_ID1461     1.570e+01  7.218e-03  2174.86   <2e-16 ***
DESTIN_GRID_ID1464     1.554e+01  7.001e-03  2219.21   <2e-16 ***
DESTIN_GRID_ID1465     1.502e+01  1.089e-02  1378.76   <2e-16 ***
DESTIN_GRID_ID1472     1.572e+01  8.168e-03  1924.36   <2e-16 ***
DESTIN_GRID_ID1473     1.656e+01  4.490e-03  3688.70   <2e-16 ***
DESTIN_GRID_ID1474     1.638e+01  4.331e-03  3782.31   <2e-16 ***
DESTIN_GRID_ID1475     1.600e+01  5.288e-03  3026.17   <2e-16 ***
DESTIN_GRID_ID1476     1.518e+01  7.944e-03  1911.36   <2e-16 ***
DESTIN_GRID_ID1477     1.695e+01  3.177e-03  5334.94   <2e-16 ***
DESTIN_GRID_ID1478     1.550e+01  5.778e-03  2681.73   <2e-16 ***
DESTIN_GRID_ID1479     1.477e+01  7.877e-03  1874.91   <2e-16 ***
DESTIN_GRID_ID1480     1.695e+01  3.227e-03  5253.76   <2e-16 ***
DESTIN_GRID_ID1481     1.553e+01  7.375e-03  2105.43   <2e-16 ***
DESTIN_GRID_ID1482     1.673e+01  5.345e-03  3129.85   <2e-16 ***
DESTIN_GRID_ID1485     1.491e+01  1.095e-02  1362.07   <2e-16 ***
DESTIN_GRID_ID1494     1.644e+01  5.053e-03  3252.76   <2e-16 ***
DESTIN_GRID_ID1495     1.545e+01  6.816e-03  2266.22   <2e-16 ***
DESTIN_GRID_ID1496     1.632e+01  4.370e-03  3736.02   <2e-16 ***
DESTIN_GRID_ID1497     1.508e+01  8.443e-03  1786.50   <2e-16 ***
DESTIN_GRID_ID1498     1.530e+01  7.178e-03  2131.70   <2e-16 ***
DESTIN_GRID_ID1499     1.573e+01  5.065e-03  3105.87   <2e-16 ***
DESTIN_GRID_ID1500     1.521e+01  8.730e-03  1742.48   <2e-16 ***
DESTIN_GRID_ID1501     1.610e+01  4.436e-03  3629.94   <2e-16 ***
DESTIN_GRID_ID1502     1.606e+01  4.868e-03  3299.39   <2e-16 ***
DESTIN_GRID_ID1506     1.356e+01  6.856e-02   197.76   <2e-16 ***
DESTIN_GRID_ID1515     1.524e+01  1.507e-02  1011.35   <2e-16 ***
DESTIN_GRID_ID1516     1.639e+01  4.395e-03  3729.67   <2e-16 ***
DESTIN_GRID_ID1517     1.552e+01  7.478e-03  2075.16   <2e-16 ***
DESTIN_GRID_ID1518     1.484e+01  9.089e-03  1632.74   <2e-16 ***
DESTIN_GRID_ID1519     1.543e+01  8.859e-03  1742.25   <2e-16 ***
DESTIN_GRID_ID1520     1.498e+01  7.487e-03  2001.21   <2e-16 ***
DESTIN_GRID_ID1521     1.501e+01  7.808e-03  1922.02   <2e-16 ***
DESTIN_GRID_ID1522     1.569e+01  5.653e-03  2776.02   <2e-16 ***
DESTIN_GRID_ID1523     1.699e+01  4.873e-03  3486.48   <2e-16 ***
DESTIN_GRID_ID1524     1.481e+01  1.300e-02  1139.51   <2e-16 ***
DESTIN_GRID_ID1527     1.312e+01  3.380e-02   388.02   <2e-16 ***
DESTIN_GRID_ID1535     1.406e+01  6.685e-02   210.38   <2e-16 ***
DESTIN_GRID_ID1536     1.394e+01  2.985e-02   467.16   <2e-16 ***
DESTIN_GRID_ID1537     1.591e+01  6.908e-03  2303.20   <2e-16 ***
DESTIN_GRID_ID1538     1.566e+01  6.096e-03  2569.31   <2e-16 ***
DESTIN_GRID_ID1539     1.567e+01  5.336e-03  2935.70   <2e-16 ***
DESTIN_GRID_ID1540     1.514e+01  6.768e-03  2236.54   <2e-16 ***
DESTIN_GRID_ID1541     1.583e+01  8.039e-03  1969.71   <2e-16 ***
DESTIN_GRID_ID1542     1.509e+01  9.533e-03  1582.41   <2e-16 ***
DESTIN_GRID_ID1543     1.509e+01  2.892e-02   521.86   <2e-16 ***
DESTIN_GRID_ID1544     1.515e+01  9.863e-03  1535.75   <2e-16 ***
DESTIN_GRID_ID1547     1.513e+01  1.438e-02  1052.21   <2e-16 ***
DESTIN_GRID_ID1556     1.362e+01  7.182e-02   189.59   <2e-16 ***
DESTIN_GRID_ID1557     1.438e+01  2.154e-02   667.71   <2e-16 ***
DESTIN_GRID_ID1558     1.591e+01  1.404e-02  1133.43   <2e-16 ***
DESTIN_GRID_ID1559     1.617e+01  4.625e-03  3496.62   <2e-16 ***
DESTIN_GRID_ID1560     1.621e+01  4.351e-03  3726.15   <2e-16 ***
DESTIN_GRID_ID1561     1.554e+01  7.379e-03  2106.53   <2e-16 ***
DESTIN_GRID_ID1562     1.346e+01  1.699e-02   792.69   <2e-16 ***
DESTIN_GRID_ID1563     1.444e+01  1.010e-02  1430.20   <2e-16 ***
DESTIN_GRID_ID1564     1.497e+01  8.713e-03  1717.96   <2e-16 ***
DESTIN_GRID_ID1565     1.568e+01  6.684e-03  2345.93   <2e-16 ***
DESTIN_GRID_ID1566     1.408e+01  1.706e-02   825.31   <2e-16 ***
DESTIN_GRID_ID1567     1.460e+01  1.764e-02   827.79   <2e-16 ***
DESTIN_GRID_ID1568     1.568e+01  1.109e-02  1413.53   <2e-16 ***
DESTIN_GRID_ID1578     1.427e+01  1.111e-01   128.40   <2e-16 ***
DESTIN_GRID_ID1580     1.324e+01  2.960e-02   447.44   <2e-16 ***
DESTIN_GRID_ID1581     1.587e+01  5.445e-03  2913.78   <2e-16 ***
DESTIN_GRID_ID1582     1.611e+01  4.454e-03  3615.91   <2e-16 ***
DESTIN_GRID_ID1583     1.458e+01  2.231e-02   653.51   <2e-16 ***
DESTIN_GRID_ID1584     1.454e+01  1.287e-02  1130.17   <2e-16 ***
DESTIN_GRID_ID1585     1.493e+01  9.216e-03  1619.53   <2e-16 ***
DESTIN_GRID_ID1586     1.582e+01  5.755e-03  2748.67   <2e-16 ***
DESTIN_GRID_ID1589     1.428e+01  2.187e-02   653.17   <2e-16 ***
DESTIN_GRID_ID1590     1.537e+01  1.347e-02  1141.55   <2e-16 ***
DESTIN_GRID_ID1600     1.519e+01  1.618e-02   938.74   <2e-16 ***
DESTIN_GRID_ID1601     1.493e+01  7.988e-03  1869.14   <2e-16 ***
DESTIN_GRID_ID1602     1.536e+01  7.513e-03  2044.45   <2e-16 ***
DESTIN_GRID_ID1603     1.643e+01  4.502e-03  3649.28   <2e-16 ***
DESTIN_GRID_ID1604     1.428e+01  1.151e-02  1240.73   <2e-16 ***
DESTIN_GRID_ID1605     1.534e+01  6.375e-03  2406.36   <2e-16 ***
DESTIN_GRID_ID1606     1.479e+01  1.534e-02   964.21   <2e-16 ***
DESTIN_GRID_ID1607     1.618e+01  4.667e-03  3466.67   <2e-16 ***
DESTIN_GRID_ID1608     1.543e+01  6.997e-03  2205.57   <2e-16 ***
DESTIN_GRID_ID1609     1.623e+01  5.535e-03  2932.74   <2e-16 ***
DESTIN_GRID_ID1610     1.431e+01  2.795e-02   511.85   <2e-16 ***
DESTIN_GRID_ID1622     1.578e+01  1.208e-02  1305.99   <2e-16 ***
DESTIN_GRID_ID1623     1.596e+01  4.842e-03  3295.97   <2e-16 ***
DESTIN_GRID_ID1624     1.649e+01  4.352e-03  3788.56   <2e-16 ***
DESTIN_GRID_ID1625     1.569e+01  6.205e-03  2529.05   <2e-16 ***
DESTIN_GRID_ID1626     1.738e+01  3.005e-03  5784.02   <2e-16 ***
DESTIN_GRID_ID1627     1.444e+01  9.505e-03  1518.74   <2e-16 ***
DESTIN_GRID_ID1628     1.651e+01  4.066e-03  4059.40   <2e-16 ***
DESTIN_GRID_ID1629     1.379e+01  1.597e-02   863.52   <2e-16 ***
DESTIN_GRID_ID1630     1.455e+01  1.205e-02  1207.01   <2e-16 ***
DESTIN_GRID_ID1631     1.430e+01  1.786e-02   800.51   <2e-16 ***
DESTIN_GRID_ID1642     1.342e+01  3.360e-02   399.45   <2e-16 ***
DESTIN_GRID_ID1643     1.545e+01  6.414e-03  2408.53   <2e-16 ***
DESTIN_GRID_ID1644     1.550e+01  8.372e-03  1851.46   <2e-16 ***
DESTIN_GRID_ID1645     1.536e+01  6.968e-03  2203.69   <2e-16 ***
DESTIN_GRID_ID1646     1.577e+01  8.300e-03  1899.70   <2e-16 ***
DESTIN_GRID_ID1647     1.508e+01  6.839e-03  2205.18   <2e-16 ***
DESTIN_GRID_ID1648     1.533e+01  6.140e-03  2496.08   <2e-16 ***
DESTIN_GRID_ID1649     1.601e+01  4.662e-03  3433.01   <2e-16 ***
DESTIN_GRID_ID1650     1.523e+01  7.984e-03  1906.87   <2e-16 ***
DESTIN_GRID_ID1664     1.173e+01  1.313e-01    89.30   <2e-16 ***
DESTIN_GRID_ID1665     1.608e+01  4.646e-03  3460.54   <2e-16 ***
DESTIN_GRID_ID1666     1.613e+01  4.566e-03  3532.41   <2e-16 ***
DESTIN_GRID_ID1667     1.539e+01  1.475e-02  1043.80   <2e-16 ***
DESTIN_GRID_ID1668     1.504e+01  7.522e-03  1999.95   <2e-16 ***
DESTIN_GRID_ID1670     1.584e+01  4.904e-03  3229.43   <2e-16 ***
DESTIN_GRID_ID1671     1.522e+01  1.224e-02  1243.53   <2e-16 ***
DESTIN_GRID_ID1672     1.461e+01  1.273e-02  1147.57   <2e-16 ***
DESTIN_GRID_ID1684     1.608e+01  9.281e-03  1732.23   <2e-16 ***
DESTIN_GRID_ID1685     1.476e+01  9.990e-03  1477.95   <2e-16 ***
DESTIN_GRID_ID1686     1.551e+01  6.183e-03  2508.59   <2e-16 ***
DESTIN_GRID_ID1687     1.592e+01  7.256e-03  2193.71   <2e-16 ***
DESTIN_GRID_ID1688     1.507e+01  7.535e-03  2000.36   <2e-16 ***
DESTIN_GRID_ID1689     1.447e+01  1.066e-02  1357.76   <2e-16 ***
DESTIN_GRID_ID1690     1.395e+01  1.403e-02   994.18   <2e-16 ***
DESTIN_GRID_ID1691     1.605e+01  4.703e-03  3411.62   <2e-16 ***
DESTIN_GRID_ID1692     1.399e+01  1.542e-02   906.90   <2e-16 ***
DESTIN_GRID_ID1706     1.548e+01  8.330e-03  1858.53   <2e-16 ***
DESTIN_GRID_ID1707     1.460e+01  9.099e-03  1604.21   <2e-16 ***
DESTIN_GRID_ID1708     1.518e+01  7.102e-03  2138.02   <2e-16 ***
DESTIN_GRID_ID1709     1.597e+01  5.166e-03  3091.73   <2e-16 ***
DESTIN_GRID_ID1710     1.594e+01  5.445e-03  2926.67   <2e-16 ***
DESTIN_GRID_ID1711     1.650e+01  4.074e-03  4050.35   <2e-16 ***
DESTIN_GRID_ID1712     1.570e+01  4.959e-03  3165.92   <2e-16 ***
DESTIN_GRID_ID1713     1.339e+01  1.678e-02   797.95   <2e-16 ***
DESTIN_GRID_ID1714     1.491e+01  9.035e-03  1650.31   <2e-16 ***
DESTIN_GRID_ID1727     1.600e+01  6.057e-03  2641.94   <2e-16 ***
DESTIN_GRID_ID1728     1.589e+01  5.127e-03  3098.44   <2e-16 ***
DESTIN_GRID_ID1729     1.602e+01  4.870e-03  3289.92   <2e-16 ***
DESTIN_GRID_ID1730     1.517e+01  8.609e-03  1761.75   <2e-16 ***
DESTIN_GRID_ID1731     1.611e+01  4.957e-03  3249.84   <2e-16 ***
DESTIN_GRID_ID1732     1.552e+01  5.386e-03  2881.32   <2e-16 ***
DESTIN_GRID_ID1733     1.451e+01  9.057e-03  1602.53   <2e-16 ***
DESTIN_GRID_ID1734     1.579e+01  5.228e-03  3021.10   <2e-16 ***
DESTIN_GRID_ID1735     1.507e+01  1.621e-02   929.45   <2e-16 ***
DESTIN_GRID_ID1748     1.502e+01  9.884e-03  1519.78   <2e-16 ***
DESTIN_GRID_ID1749     1.605e+01  4.698e-03  3416.29   <2e-16 ***
DESTIN_GRID_ID1750     1.601e+01  4.821e-03  3320.26   <2e-16 ***
DESTIN_GRID_ID1751     1.561e+01  6.712e-03  2325.42   <2e-16 ***
DESTIN_GRID_ID1753     1.597e+01  4.927e-03  3241.16   <2e-16 ***
DESTIN_GRID_ID1754     1.694e+01  3.202e-03  5290.69   <2e-16 ***
DESTIN_GRID_ID1755     1.634e+01  3.974e-03  4111.72   <2e-16 ***
DESTIN_GRID_ID1756     1.544e+01  6.060e-03  2547.21   <2e-16 ***
DESTIN_GRID_ID1757     1.409e+01  2.292e-02   614.95   <2e-16 ***
DESTIN_GRID_ID1769     1.574e+01  6.524e-03  2412.63   <2e-16 ***
DESTIN_GRID_ID1770     1.526e+01  8.790e-03  1735.65   <2e-16 ***
DESTIN_GRID_ID1771     1.605e+01  5.575e-03  2879.84   <2e-16 ***
DESTIN_GRID_ID1772     1.699e+01  7.206e-03  2357.30   <2e-16 ***
DESTIN_GRID_ID1774     1.508e+01  7.472e-03  2018.19   <2e-16 ***
DESTIN_GRID_ID1775     1.468e+01  8.267e-03  1776.09   <2e-16 ***
DESTIN_GRID_ID1776     1.690e+01  3.232e-03  5229.08   <2e-16 ***
DESTIN_GRID_ID1777     1.519e+01  7.548e-03  2012.99   <2e-16 ***
DESTIN_GRID_ID1778     1.433e+01  2.277e-02   629.45   <2e-16 ***
DESTIN_GRID_ID1790     1.620e+01  5.807e-03  2790.40   <2e-16 ***
DESTIN_GRID_ID1791     1.556e+01  7.011e-03  2218.84   <2e-16 ***
DESTIN_GRID_ID1792     1.575e+01  7.572e-03  2080.57   <2e-16 ***
DESTIN_GRID_ID1793     1.574e+01  6.226e-03  2528.39   <2e-16 ***
DESTIN_GRID_ID1794     1.726e+01  7.601e-03  2270.50   <2e-16 ***
DESTIN_GRID_ID1795     1.351e+01  2.150e-02   628.15   <2e-16 ***
DESTIN_GRID_ID1796     1.569e+01  5.697e-03  2754.47   <2e-16 ***
DESTIN_GRID_ID1797     1.535e+01  5.938e-03  2585.39   <2e-16 ***
DESTIN_GRID_ID1798     1.569e+01  5.606e-03  2799.64   <2e-16 ***
DESTIN_GRID_ID1799     1.492e+01  9.297e-03  1604.39   <2e-16 ***
DESTIN_GRID_ID1800     1.288e+01  6.472e-02   198.97   <2e-16 ***
DESTIN_GRID_ID1811     1.537e+01  8.933e-03  1720.96   <2e-16 ***
DESTIN_GRID_ID1812     1.649e+01  3.947e-03  4178.31   <2e-16 ***
DESTIN_GRID_ID1813     1.670e+01  3.739e-03  4465.45   <2e-16 ***
DESTIN_GRID_ID1817     1.395e+01  1.411e-02   988.36   <2e-16 ***
DESTIN_GRID_ID1818     1.531e+01  6.138e-03  2493.47   <2e-16 ***
DESTIN_GRID_ID1819     1.698e+01  3.261e-03  5206.82   <2e-16 ***
DESTIN_GRID_ID1820     1.275e+01  5.042e-02   252.79   <2e-16 ***
DESTIN_GRID_ID1832     1.654e+01  5.085e-03  3252.90   <2e-16 ***
DESTIN_GRID_ID1833     1.517e+01  7.810e-03  1942.35   <2e-16 ***
DESTIN_GRID_ID1834     1.510e+01  7.234e-03  2087.57   <2e-16 ***
DESTIN_GRID_ID1835     1.521e+01  8.002e-03  1900.29   <2e-16 ***
DESTIN_GRID_ID1837     1.523e+01  1.421e-02  1071.85   <2e-16 ***
DESTIN_GRID_ID1839     1.406e+01  1.373e-02  1024.27   <2e-16 ***
DESTIN_GRID_ID1840     1.680e+01  3.609e-03  4655.62   <2e-16 ***
DESTIN_GRID_ID1841     1.349e+01  2.815e-02   478.99   <2e-16 ***
DESTIN_GRID_ID1842     1.501e+01  1.635e-02   917.85   <2e-16 ***
DESTIN_GRID_ID1853     1.573e+01  6.265e-03  2510.22   <2e-16 ***
DESTIN_GRID_ID1854     1.588e+01  5.650e-03  2810.28   <2e-16 ***
DESTIN_GRID_ID1855     1.611e+01  5.019e-03  3210.46   <2e-16 ***
DESTIN_GRID_ID1858     1.626e+01  8.546e-03  1902.06   <2e-16 ***
DESTIN_GRID_ID1860     1.462e+01  2.210e-02   661.29   <2e-16 ***
DESTIN_GRID_ID1861     1.568e+01  6.196e-03  2530.11   <2e-16 ***
DESTIN_GRID_ID1874     1.538e+01  1.072e-02  1435.36   <2e-16 ***
DESTIN_GRID_ID1875     1.363e+01  2.393e-02   569.73   <2e-16 ***
DESTIN_GRID_ID1876     1.503e+01  2.466e-02   609.64   <2e-16 ***
DESTIN_GRID_ID1877     1.589e+01  5.419e-03  2931.40   <2e-16 ***
DESTIN_GRID_ID1880     1.538e+01  1.418e-02  1084.55   <2e-16 ***
DESTIN_GRID_ID1882     1.552e+01  6.747e-03  2300.62   <2e-16 ***
DESTIN_GRID_ID1883     1.430e+01  2.159e-02   662.21   <2e-16 ***
DESTIN_GRID_ID1895     1.618e+01  5.497e-03  2943.06   <2e-16 ***
DESTIN_GRID_ID1896     1.513e+01  8.235e-03  1836.96   <2e-16 ***
DESTIN_GRID_ID1897     1.431e+01  1.317e-02  1086.27   <2e-16 ***
DESTIN_GRID_ID1898     1.400e+01  2.562e-02   546.23   <2e-16 ***
DESTIN_GRID_ID1901     1.479e+01  2.049e-02   721.74   <2e-16 ***
DESTIN_GRID_ID1903     1.402e+01  1.924e-02   728.75   <2e-16 ***
DESTIN_GRID_ID1917     1.500e+01  9.991e-03  1501.45   <2e-16 ***
DESTIN_GRID_ID1918     1.626e+01  6.988e-03  2326.40   <2e-16 ***
DESTIN_GRID_ID1919     1.610e+01  5.132e-03  3138.09   <2e-16 ***
DESTIN_GRID_ID1922     1.592e+01  1.076e-02  1480.05   <2e-16 ***
DESTIN_GRID_ID1924     1.359e+01  2.390e-02   568.84   <2e-16 ***
DESTIN_GRID_ID1937     1.557e+01  8.086e-03  1925.45   <2e-16 ***
DESTIN_GRID_ID1938     1.627e+01  4.959e-03  3282.20   <2e-16 ***
DESTIN_GRID_ID1939     1.499e+01  9.518e-03  1574.44   <2e-16 ***
DESTIN_GRID_ID1942     1.478e+01  1.917e-02   770.97   <2e-16 ***
DESTIN_GRID_ID1959     1.506e+01  1.043e-02  1443.83   <2e-16 ***
DESTIN_GRID_ID1960     1.729e+01  3.035e-03  5698.23   <2e-16 ***
DESTIN_GRID_ID1961     1.479e+01  1.033e-02  1432.69   <2e-16 ***
DESTIN_GRID_ID1962     1.563e+01  6.467e-03  2417.39   <2e-16 ***
DESTIN_GRID_ID1964     1.649e+01  1.132e-02  1457.28   <2e-16 ***
DESTIN_GRID_ID1979     1.556e+01  8.714e-03  1785.62   <2e-16 ***
DESTIN_GRID_ID1980     1.542e+01  7.279e-03  2118.41   <2e-16 ***
DESTIN_GRID_ID1981     1.532e+01  7.707e-03  1987.46   <2e-16 ***
DESTIN_GRID_ID1982     1.562e+01  8.174e-03  1911.21   <2e-16 ***
DESTIN_GRID_ID1983     1.559e+01  6.572e-03  2371.80   <2e-16 ***
DESTIN_GRID_ID1984     1.564e+01  6.480e-03  2414.28   <2e-16 ***
DESTIN_GRID_ID1985     1.587e+01  6.142e-03  2583.15   <2e-16 ***
DESTIN_GRID_ID2001     1.546e+01  7.174e-03  2154.97   <2e-16 ***
DESTIN_GRID_ID2002     1.553e+01  5.840e-03  2659.43   <2e-16 ***
DESTIN_GRID_ID2003     1.607e+01  4.850e-03  3313.65   <2e-16 ***
DESTIN_GRID_ID2004     1.635e+01  4.675e-03  3497.95   <2e-16 ***
DESTIN_GRID_ID2005     1.532e+01  7.023e-03  2181.90   <2e-16 ***
DESTIN_GRID_ID2006     1.639e+01  5.016e-03  3267.64   <2e-16 ***
DESTIN_GRID_ID2007     1.313e+01  3.310e-02   396.71   <2e-16 ***
DESTIN_GRID_ID2022     1.612e+01  7.067e-03  2281.44   <2e-16 ***
DESTIN_GRID_ID2023     1.600e+01  5.153e-03  3104.95   <2e-16 ***
DESTIN_GRID_ID2024     1.627e+01  4.352e-03  3738.09   <2e-16 ***
DESTIN_GRID_ID2025     1.506e+01  7.347e-03  2050.34   <2e-16 ***
DESTIN_GRID_ID2026     1.431e+01  1.287e-02  1112.42   <2e-16 ***
DESTIN_GRID_ID2027     1.635e+01  4.735e-03  3452.30   <2e-16 ***
DESTIN_GRID_ID2043     1.454e+01  1.264e-02  1150.76   <2e-16 ***
DESTIN_GRID_ID2044     1.554e+01  6.447e-03  2410.83   <2e-16 ***
DESTIN_GRID_ID2045     1.478e+01  1.249e-02  1183.57   <2e-16 ***
DESTIN_GRID_ID2046     1.625e+01  4.129e-03  3935.75   <2e-16 ***
DESTIN_GRID_ID2047     1.442e+01  1.039e-02  1387.35   <2e-16 ***
DESTIN_GRID_ID2048     1.472e+01  9.469e-03  1554.84   <2e-16 ***
DESTIN_GRID_ID2049     1.312e+01  3.038e-02   431.85   <2e-16 ***
DESTIN_GRID_ID2064     1.544e+01  7.658e-03  2015.69   <2e-16 ***
DESTIN_GRID_ID2065     1.535e+01  7.612e-03  2016.43   <2e-16 ***
DESTIN_GRID_ID2066     1.287e+01  3.802e-02   338.68   <2e-16 ***
DESTIN_GRID_ID2067     1.760e+01  2.746e-03  6407.07   <2e-16 ***
DESTIN_GRID_ID2068     1.441e+01  1.541e-02   934.96   <2e-16 ***
DESTIN_GRID_ID2069     1.493e+01  9.458e-03  1578.97   <2e-16 ***
DESTIN_GRID_ID2085     1.558e+01  7.805e-03  1995.80   <2e-16 ***
DESTIN_GRID_ID2086     1.675e+01  4.146e-03  4039.40   <2e-16 ***
DESTIN_GRID_ID2087     1.642e+01  4.414e-03  3719.37   <2e-16 ***
DESTIN_GRID_ID2088     1.529e+01  6.250e-03  2447.01   <2e-16 ***
DESTIN_GRID_ID2089     1.493e+01  9.514e-03  1568.94   <2e-16 ***
DESTIN_GRID_ID2090     1.739e+01  3.081e-03  5644.56   <2e-16 ***
DESTIN_GRID_ID2091     1.242e+01  7.110e-02   174.64   <2e-16 ***
DESTIN_GRID_ID2105     1.531e+01  6.656e-02   230.03   <2e-16 ***
DESTIN_GRID_ID2106     1.410e+01  1.579e-02   893.37   <2e-16 ***
DESTIN_GRID_ID2107     1.668e+01  4.218e-03  3954.57   <2e-16 ***
DESTIN_GRID_ID2108     1.627e+01  5.105e-03  3186.90   <2e-16 ***
DESTIN_GRID_ID2109     1.492e+01  7.423e-03  2010.44   <2e-16 ***
DESTIN_GRID_ID2110     1.448e+01  1.265e-02  1144.62   <2e-16 ***
DESTIN_GRID_ID2111     1.342e+01  3.624e-02   370.26   <2e-16 ***
DESTIN_GRID_ID2128     1.601e+01  8.675e-03  1845.86   <2e-16 ***
DESTIN_GRID_ID2129     1.536e+01  1.119e-02  1372.91   <2e-16 ***
DESTIN_GRID_ID2130     1.536e+01  6.062e-03  2533.24   <2e-16 ***
DESTIN_GRID_ID2131     1.532e+01  7.881e-03  1944.04   <2e-16 ***
DESTIN_GRID_ID2132     1.507e+01  8.574e-03  1758.31   <2e-16 ***
DESTIN_GRID_ID2148     1.490e+01  1.696e-02   878.50   <2e-16 ***
DESTIN_GRID_ID2149     1.495e+01  1.173e-02  1274.38   <2e-16 ***
DESTIN_GRID_ID2150     1.497e+01  9.548e-03  1567.44   <2e-16 ***
DESTIN_GRID_ID2151     1.677e+01  3.503e-03  4788.76   <2e-16 ***
DESTIN_GRID_ID2152     1.577e+01  5.804e-03  2717.34   <2e-16 ***
DESTIN_GRID_ID2153     1.460e+01  1.254e-02  1164.02   <2e-16 ***
DESTIN_GRID_ID2171     1.594e+01  6.186e-03  2576.53   <2e-16 ***
DESTIN_GRID_ID2172     1.434e+01  1.230e-02  1166.15   <2e-16 ***
DESTIN_GRID_ID2173     1.492e+01  7.986e-03  1867.91   <2e-16 ***
DESTIN_GRID_ID2174     1.568e+01  6.998e-03  2240.30   <2e-16 ***
DESTIN_GRID_ID2191     1.617e+01  8.567e-03  1887.83   <2e-16 ***
DESTIN_GRID_ID2192     1.497e+01  1.165e-02  1284.64   <2e-16 ***
DESTIN_GRID_ID2193     1.564e+01  6.768e-03  2310.89   <2e-16 ***
DESTIN_GRID_ID2194     1.564e+01  6.245e-03  2504.81   <2e-16 ***
DESTIN_GRID_ID2195     1.424e+01  4.116e-02   345.95   <2e-16 ***
DESTIN_GRID_ID2212     1.698e+01  1.407e-02  1206.39   <2e-16 ***
DESTIN_GRID_ID2213     1.594e+01  9.247e-03  1723.57   <2e-16 ***
DESTIN_GRID_ID2214     1.684e+01  7.262e-03  2318.34   <2e-16 ***
DESTIN_GRID_ID2215     1.485e+01  1.044e-02  1421.59   <2e-16 ***
DESTIN_GRID_ID2216     1.589e+01  6.386e-03  2488.35   <2e-16 ***
DESTIN_GRID_ID2233     1.672e+01  1.028e-02  1627.23   <2e-16 ***
DESTIN_GRID_ID2234     1.712e+01  8.503e-03  2013.55   <2e-16 ***
DESTIN_GRID_ID2235     1.594e+01  9.511e-03  1675.99   <2e-16 ***
DESTIN_GRID_ID2236     1.442e+01  1.420e-02  1016.15   <2e-16 ***
DESTIN_GRID_ID2237     1.588e+01  1.171e-02  1356.83   <2e-16 ***
DESTIN_GRID_ID2256     1.619e+01  1.275e-02  1269.79   <2e-16 ***
DESTIN_GRID_ID2257     1.356e+01  2.944e-02   460.62   <2e-16 ***
DESTIN_GRID_ID2258     1.562e+01  7.658e-03  2039.64   <2e-16 ***
DESTIN_GRID_ID2259     1.668e+01  1.060e-02  1573.21   <2e-16 ***
DESTIN_GRID_ID2277     1.514e+01  2.654e-02   570.26   <2e-16 ***
DESTIN_GRID_ID2278     1.494e+01  1.752e-02   852.68   <2e-16 ***
DESTIN_GRID_ID2279     1.570e+01  7.858e-03  1997.57   <2e-16 ***
DESTIN_GRID_ID2280     1.430e+01  3.439e-02   415.98   <2e-16 ***
DESTIN_GRID_ID2297     1.468e+01  2.098e-02   699.93   <2e-16 ***
DESTIN_GRID_ID2300     1.479e+01  2.102e-02   703.92   <2e-16 ***
DESTIN_GRID_ID2301     1.537e+01  1.031e-02  1490.31   <2e-16 ***
DESTIN_GRID_ID2318     1.705e+01  6.178e-03  2760.07   <2e-16 ***
DESTIN_GRID_ID2319     1.702e+01  5.840e-03  2913.85   <2e-16 ***
DESTIN_GRID_ID2322     1.562e+01  1.031e-02  1515.27   <2e-16 ***
DESTIN_GRID_ID2337     1.666e+01  1.732e-02   962.05   <2e-16 ***
DESTIN_GRID_ID2341     1.719e+01  5.862e-03  2932.55   <2e-16 ***
DESTIN_GRID_ID2343     1.485e+01  1.442e-02  1029.80   <2e-16 ***
DESTIN_GRID_ID2361     1.599e+01  1.007e-02  1588.36   <2e-16 ***
DESTIN_GRID_ID2364     1.356e+01  3.639e-02   372.54   <2e-16 ***
DESTIN_GRID_ID2379     1.590e+01  2.599e-02   611.64   <2e-16 ***
DESTIN_GRID_ID2384     1.681e+01  7.203e-03  2333.55   <2e-16 ***
DESTIN_GRID_ID2405     1.752e+01  5.096e-03  3438.79   <2e-16 ***
DESTIN_GRID_ID2406     1.450e+01  2.430e-02   596.84   <2e-16 ***
DESTIN_GRID_ID2426     1.689e+01  1.136e-02  1486.09   <2e-16 ***
DESTIN_GRID_ID2427     1.709e+01  7.125e-03  2398.48   <2e-16 ***
DESTIN_GRID_ID2505     1.724e+01  1.953e-02   882.70   <2e-16 ***
log(ORIGIN_RENTAL_CT)  2.062e-03  9.502e-05    21.70   <2e-16 ***
log(ORIGIN_2ROOM_CT)   1.330e-02  1.169e-04   113.76   <2e-16 ***
log(ORIGIN_3ROOM_CT)   1.176e-02  9.481e-05   124.07   <2e-16 ***
log(ORIGIN_4ROOM_CT)   3.754e-02  1.885e-04   199.18   <2e-16 ***
log(ORIGIN_5ROOM_CT)   9.368e-02  1.920e-04   488.01   <2e-16 ***
log(ORIGIN_EXEC_CT)    4.111e-02  9.666e-05   425.35   <2e-16 ***
log(ORIGIN_STUDIO_CT)  6.473e-03  1.422e-04    45.51   <2e-16 ***
log(dist)             -1.412e+00  2.871e-04 -4917.90   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 278704584  on 62186  degrees of freedom
Residual deviance:  31288107  on 61360  degrees of freedom
AIC: 31625863

Number of Fisher Scoring iterations: 8

Doubly Constrained SIM Output

The R-squared value of 0.58 tells us that the explanatory variables are able to explain 58 % of the variance in the TRIPS target variable.

CalcRSquared(dbcSIM$data$TRIPS, dbcSIM$fitted.values)
[1] 0.5814646

Adjusted R-squared of 0.57 is the highest for this model.

Calc_AdjRSquared(CalcRSquared(dbcSIM$data$TRIPS, dbcSIM$fitted.values),
                 length(dbcSIM$data$TRIPS),
                 length(dbcSIM$coefficients)-1)
[1] 0.5701702

The explanatory variable ‘distance’ is statistically significant and has a coefficient of -0.158.

dbcSIM$coefficients[1]
(Intercept) 
   14.43949 
dbcSIM$coefficients[1635]
log(dist) 
-1.581197 
summary(dbcSIM)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + DESTIN_GRID_ID + log(dist), 
    family = poisson(link = "log"), data = flow_data1, na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-218.08    -8.98    -3.09     2.56   386.13  

Coefficients:
                     Estimate Std. Error   z value Pr(>|z|)    
(Intercept)        14.4394926  0.1405168   102.760  < 2e-16 ***
ORIGIN_GRID_ID44    1.7000385  0.2004115     8.483  < 2e-16 ***
ORIGIN_GRID_ID46   -0.1447060  0.1618108    -0.894 0.371166    
ORIGIN_GRID_ID66    1.4035649  0.1872598     7.495 6.62e-14 ***
ORIGIN_GRID_ID67    1.7876519  0.1317456    13.569  < 2e-16 ***
ORIGIN_GRID_ID68   -0.6420455  0.1732983    -3.705 0.000212 ***
ORIGIN_GRID_ID86   -0.4732650  0.1543778    -3.066 0.002172 ** 
ORIGIN_GRID_ID87    3.3340486  0.1505693    22.143  < 2e-16 ***
ORIGIN_GRID_ID88    2.3754367  0.1304699    18.207  < 2e-16 ***
ORIGIN_GRID_ID89    0.2039094  0.1389233     1.468 0.142163    
ORIGIN_GRID_ID90    0.9054951  0.1837021     4.929 8.26e-07 ***
ORIGIN_GRID_ID109   0.3377856  0.1681050     2.009 0.044498 *  
ORIGIN_GRID_ID110   0.5217344  0.1528227     3.414 0.000640 ***
ORIGIN_GRID_ID111   3.9109202  0.1300172    30.080  < 2e-16 ***
ORIGIN_GRID_ID112   0.1026062  0.1479722     0.693 0.488049    
ORIGIN_GRID_ID128   3.0503331  0.1328095    22.968  < 2e-16 ***
ORIGIN_GRID_ID129   0.3418501  0.2293981     1.490 0.136171    
ORIGIN_GRID_ID130   1.2646370  0.1413093     8.949  < 2e-16 ***
ORIGIN_GRID_ID131   1.8833836  0.1337129    14.085  < 2e-16 ***
ORIGIN_GRID_ID132   0.1695822  0.1412540     1.201 0.229926    
ORIGIN_GRID_ID133   1.0766949  0.1360562     7.914 2.50e-15 ***
ORIGIN_GRID_ID134   4.1143202  0.1328106    30.979  < 2e-16 ***
ORIGIN_GRID_ID150   4.1682825  0.1311336    31.787  < 2e-16 ***
ORIGIN_GRID_ID151   0.4327500  0.1535129     2.819 0.004818 ** 
ORIGIN_GRID_ID152   0.2182047  0.1561780     1.397 0.162368    
ORIGIN_GRID_ID153   1.4498776  0.1371608    10.571  < 2e-16 ***
ORIGIN_GRID_ID154   4.1273458  0.1295077    31.870  < 2e-16 ***
ORIGIN_GRID_ID155   0.9710493  0.1351553     7.185 6.74e-13 ***
ORIGIN_GRID_ID156   1.6880586  0.1406709    12.000  < 2e-16 ***
ORIGIN_GRID_ID172   2.3015222  0.1458894    15.776  < 2e-16 ***
ORIGIN_GRID_ID174   1.1003307  0.1381870     7.963 1.68e-15 ***
ORIGIN_GRID_ID175   3.8065984  0.1298011    29.326  < 2e-16 ***
ORIGIN_GRID_ID176   4.8230262  0.1293836    37.277  < 2e-16 ***
ORIGIN_GRID_ID195  -0.0902374  0.1564839    -0.577 0.564171    
ORIGIN_GRID_ID196   0.9000050  0.1363245     6.602 4.06e-11 ***
ORIGIN_GRID_ID197   0.0723198  0.1861044     0.389 0.697573    
ORIGIN_GRID_ID215   1.4442699  0.1628827     8.867  < 2e-16 ***
ORIGIN_GRID_ID216   5.2368269  0.1295104    40.436  < 2e-16 ***
ORIGIN_GRID_ID217   2.3643516  0.1312692    18.011  < 2e-16 ***
ORIGIN_GRID_ID237   0.4280936  0.3281514     1.305 0.192042    
ORIGIN_GRID_ID238   0.8341390  0.1501996     5.554 2.80e-08 ***
ORIGIN_GRID_ID239   1.0987139  0.1939379     5.665 1.47e-08 ***
ORIGIN_GRID_ID257   0.2015634  0.1438810     1.401 0.161243    
ORIGIN_GRID_ID258   2.2459656  0.1326372    16.933  < 2e-16 ***
ORIGIN_GRID_ID259   1.4768354  0.1358379    10.872  < 2e-16 ***
ORIGIN_GRID_ID278   1.6216420  0.1350863    12.004  < 2e-16 ***
ORIGIN_GRID_ID279   0.4173954  0.1383897     3.016 0.002561 ** 
ORIGIN_GRID_ID280   0.9417711  0.1389363     6.778 1.21e-11 ***
ORIGIN_GRID_ID298  -3.1159126  0.3996733    -7.796 6.38e-15 ***
ORIGIN_GRID_ID299   0.1391199  0.1426829     0.975 0.329546    
ORIGIN_GRID_ID300   4.1733077  0.1297074    32.175  < 2e-16 ***
ORIGIN_GRID_ID320  -0.2671295  0.1396143    -1.913 0.055705 .  
ORIGIN_GRID_ID321   0.8195822  0.1524845     5.375 7.66e-08 ***
ORIGIN_GRID_ID322   2.5744695  0.1357645    18.963  < 2e-16 ***
ORIGIN_GRID_ID340   1.9812589  0.1332422    14.870  < 2e-16 ***
ORIGIN_GRID_ID341  -0.1188257  0.1389854    -0.855 0.392578    
ORIGIN_GRID_ID342   1.9972039  0.1363768    14.645  < 2e-16 ***
ORIGIN_GRID_ID363   1.5837570  0.1356049    11.679  < 2e-16 ***
ORIGIN_GRID_ID364   2.1499307  0.1323598    16.243  < 2e-16 ***
ORIGIN_GRID_ID383   1.0439561  0.1338266     7.801 6.15e-15 ***
ORIGIN_GRID_ID384   0.5072620  0.1397352     3.630 0.000283 ***
ORIGIN_GRID_ID385   0.8798587  0.1471742     5.978 2.25e-09 ***
ORIGIN_GRID_ID404   2.1421757  0.1331672    16.086  < 2e-16 ***
ORIGIN_GRID_ID405   0.5410149  0.1412063     3.831 0.000127 ***
ORIGIN_GRID_ID406   5.9825841  0.1294179    46.227  < 2e-16 ***
ORIGIN_GRID_ID407   1.9553941  0.1386956    14.098  < 2e-16 ***
ORIGIN_GRID_ID408   2.6963345  0.1319479    20.435  < 2e-16 ***
ORIGIN_GRID_ID425  -0.6413884  0.1660321    -3.863 0.000112 ***
ORIGIN_GRID_ID426   1.4841912  0.1331439    11.147  < 2e-16 ***
ORIGIN_GRID_ID427   0.6525150  0.1382567     4.720 2.36e-06 ***
ORIGIN_GRID_ID428   0.1200996  0.1799547     0.667 0.504524    
ORIGIN_GRID_ID429   2.3272037  0.1312772    17.727  < 2e-16 ***
ORIGIN_GRID_ID446   0.9435815  0.1480985     6.371 1.87e-10 ***
ORIGIN_GRID_ID447   0.9058870  0.1358592     6.668 2.60e-11 ***
ORIGIN_GRID_ID448   1.9539424  0.1324629    14.751  < 2e-16 ***
ORIGIN_GRID_ID449   5.1692623  0.1295967    39.887  < 2e-16 ***
ORIGIN_GRID_ID450   2.1332501  0.1311140    16.270  < 2e-16 ***
ORIGIN_GRID_ID468   1.8043071  0.1335853    13.507  < 2e-16 ***
ORIGIN_GRID_ID469   3.1290065  0.1303635    24.002  < 2e-16 ***
ORIGIN_GRID_ID470   5.2192705  0.1295310    40.294  < 2e-16 ***
ORIGIN_GRID_ID471   2.9998349  0.1306774    22.956  < 2e-16 ***
ORIGIN_GRID_ID488   0.6436314  0.1425061     4.517 6.29e-06 ***
ORIGIN_GRID_ID489  -1.0712484  0.2130433    -5.028 4.95e-07 ***
ORIGIN_GRID_ID490   3.6202026  0.1300370    27.840  < 2e-16 ***
ORIGIN_GRID_ID491   4.1266490  0.1296803    31.822  < 2e-16 ***
ORIGIN_GRID_ID493  -1.6369434  0.2537581    -6.451 1.11e-10 ***
ORIGIN_GRID_ID494   0.7362184  0.1520294     4.843 1.28e-06 ***
ORIGIN_GRID_ID509   0.6642812  0.1352657     4.911 9.06e-07 ***
ORIGIN_GRID_ID510   1.4517745  0.1322779    10.975  < 2e-16 ***
ORIGIN_GRID_ID511   3.0296124  0.1299415    23.315  < 2e-16 ***
ORIGIN_GRID_ID512   5.7488376  0.1294710    44.403  < 2e-16 ***
ORIGIN_GRID_ID513   2.1569506  0.1323947    16.292  < 2e-16 ***
ORIGIN_GRID_ID514   1.3990989  0.1410002     9.923  < 2e-16 ***
ORIGIN_GRID_ID515   0.0010554  0.2585958     0.004 0.996744    
ORIGIN_GRID_ID530  -0.2701643  0.1580648    -1.709 0.087414 .  
ORIGIN_GRID_ID531   1.9411831  0.1311428    14.802  < 2e-16 ***
ORIGIN_GRID_ID532   1.3481497  0.1322603    10.193  < 2e-16 ***
ORIGIN_GRID_ID533   5.4178947  0.1294718    41.846  < 2e-16 ***
ORIGIN_GRID_ID534   6.0372357  0.1294849    46.625  < 2e-16 ***
ORIGIN_GRID_ID536   2.7627705  0.1323608    20.873  < 2e-16 ***
ORIGIN_GRID_ID537   0.4091371  0.2322685     1.761 0.078157 .  
ORIGIN_GRID_ID538   0.3289687  0.2888638     1.139 0.254771    
ORIGIN_GRID_ID539   0.1601534  1.0089940     0.159 0.873885    
ORIGIN_GRID_ID551  -0.2263846  0.1415100    -1.600 0.109648    
ORIGIN_GRID_ID552   2.2450404  0.1349684    16.634  < 2e-16 ***
ORIGIN_GRID_ID553   1.8095393  0.1307972    13.835  < 2e-16 ***
ORIGIN_GRID_ID554   5.3543280  0.1294794    41.353  < 2e-16 ***
ORIGIN_GRID_ID555   4.6170790  0.1296783    35.604  < 2e-16 ***
ORIGIN_GRID_ID559   1.1585255  0.1680187     6.895 5.38e-12 ***
ORIGIN_GRID_ID560   3.2696350  0.1414541    23.114  < 2e-16 ***
ORIGIN_GRID_ID561  -1.3495666  1.0097280    -1.337 0.181365    
ORIGIN_GRID_ID572  -2.5401995  0.5919818    -4.291 1.78e-05 ***
ORIGIN_GRID_ID573   0.1262137  0.1380137     0.915 0.360453    
ORIGIN_GRID_ID574   1.7515711  0.1349813    12.976  < 2e-16 ***
ORIGIN_GRID_ID575   6.3768468  0.1294498    49.261  < 2e-16 ***
ORIGIN_GRID_ID576   4.9721012  0.1295371    38.384  < 2e-16 ***
ORIGIN_GRID_ID578   0.3694284  0.1662829     2.222 0.026305 *  
ORIGIN_GRID_ID582   0.6232556  0.1702506     3.661 0.000251 ***
ORIGIN_GRID_ID583   1.5675238  0.5918999     2.648 0.008090 ** 
ORIGIN_GRID_ID584   3.9655103  0.1421229    27.902  < 2e-16 ***
ORIGIN_GRID_ID593   1.3223490  0.1396717     9.468  < 2e-16 ***
ORIGIN_GRID_ID594   1.3975808  0.1321946    10.572  < 2e-16 ***
ORIGIN_GRID_ID595   1.6616695  0.1309860    12.686  < 2e-16 ***
ORIGIN_GRID_ID596   4.7129310  0.1295094    36.391  < 2e-16 ***
ORIGIN_GRID_ID597   1.9965206  0.1432526    13.937  < 2e-16 ***
ORIGIN_GRID_ID603   1.1721397  0.1754553     6.681 2.38e-11 ***
ORIGIN_GRID_ID604   1.6199767  0.2319517     6.984 2.87e-12 ***
ORIGIN_GRID_ID615  -0.0671903  0.1391070    -0.483 0.629087    
ORIGIN_GRID_ID616   1.1209157  0.1336057     8.390  < 2e-16 ***
ORIGIN_GRID_ID617   2.0191588  0.1308812    15.427  < 2e-16 ***
ORIGIN_GRID_ID618   5.3999225  0.1294927    41.701  < 2e-16 ***
ORIGIN_GRID_ID620   2.7565738  0.1334273    20.660  < 2e-16 ***
ORIGIN_GRID_ID637   0.8310967  0.1372308     6.056 1.39e-09 ***
ORIGIN_GRID_ID638   4.8147666  0.1295087    37.177  < 2e-16 ***
ORIGIN_GRID_ID657   2.6568142  0.1306396    20.337  < 2e-16 ***
ORIGIN_GRID_ID658   4.1577664  0.1296106    32.079  < 2e-16 ***
ORIGIN_GRID_ID659   4.3723232  0.1295611    33.747  < 2e-16 ***
ORIGIN_GRID_ID660   5.4510183  0.1294852    42.098  < 2e-16 ***
ORIGIN_GRID_ID662   5.5815936  0.1296684    43.045  < 2e-16 ***
ORIGIN_GRID_ID677   2.5512438  0.1316680    19.376  < 2e-16 ***
ORIGIN_GRID_ID678   0.3533335  0.1388067     2.546 0.010912 *  
ORIGIN_GRID_ID679   5.3756090  0.1294932    41.513  < 2e-16 ***
ORIGIN_GRID_ID680   5.6373410  0.1294921    43.534  < 2e-16 ***
ORIGIN_GRID_ID681   4.3790212  0.1297436    33.751  < 2e-16 ***
ORIGIN_GRID_ID699   2.0666820  0.1316461    15.699  < 2e-16 ***
ORIGIN_GRID_ID700   4.3627952  0.1295963    33.664  < 2e-16 ***
ORIGIN_GRID_ID701   4.2487350  0.1295992    32.784  < 2e-16 ***
ORIGIN_GRID_ID702   5.2979307  0.1294910    40.913  < 2e-16 ***
ORIGIN_GRID_ID704   2.4106822  0.1339708    17.994  < 2e-16 ***
ORIGIN_GRID_ID722   2.0230547  0.1310860    15.433  < 2e-16 ***
ORIGIN_GRID_ID725   1.9715960  0.1360899    14.487  < 2e-16 ***
ORIGIN_GRID_ID741   2.6288101  0.1305746    20.133  < 2e-16 ***
ORIGIN_GRID_ID743   2.8084937  0.1301480    21.579  < 2e-16 ***
ORIGIN_GRID_ID744   4.8371196  0.1295307    37.343  < 2e-16 ***
ORIGIN_GRID_ID761   2.0669575  0.1330306    15.537  < 2e-16 ***
ORIGIN_GRID_ID762   4.1343192  0.1296664    31.884  < 2e-16 ***
ORIGIN_GRID_ID763   1.2921140  0.1329859     9.716  < 2e-16 ***
ORIGIN_GRID_ID764   5.3551730  0.1294907    41.356  < 2e-16 ***
ORIGIN_GRID_ID765   4.6340052  0.1297368    35.719  < 2e-16 ***
ORIGIN_GRID_ID767   6.4784824  0.1295053    50.025  < 2e-16 ***
ORIGIN_GRID_ID772   1.1039120  0.1532364     7.204 5.85e-13 ***
ORIGIN_GRID_ID784   1.2170904  0.1325942     9.179  < 2e-16 ***
ORIGIN_GRID_ID785   4.5198585  0.1295211    34.897  < 2e-16 ***
ORIGIN_GRID_ID786   4.2290211  0.1295998    32.631  < 2e-16 ***
ORIGIN_GRID_ID787   4.8118592  0.1296705    37.108  < 2e-16 ***
ORIGIN_GRID_ID788   5.6919967  0.1295710    43.930  < 2e-16 ***
ORIGIN_GRID_ID789   4.1321764  0.1299379    31.801  < 2e-16 ***
ORIGIN_GRID_ID803   0.1041407  0.1447654     0.719 0.471909    
ORIGIN_GRID_ID804   5.1555264  0.1295169    39.806  < 2e-16 ***
ORIGIN_GRID_ID805   5.1696129  0.1294904    39.923  < 2e-16 ***
ORIGIN_GRID_ID806   4.8499764  0.1295201    37.446  < 2e-16 ***
ORIGIN_GRID_ID807   5.8974360  0.1295228    45.532  < 2e-16 ***
ORIGIN_GRID_ID808   4.1108533  0.1299617    31.631  < 2e-16 ***
ORIGIN_GRID_ID809   5.8644044  0.1294967    45.286  < 2e-16 ***
ORIGIN_GRID_ID810   5.1073768  0.1295970    39.410  < 2e-16 ***
ORIGIN_GRID_ID814   3.0237247  0.1325439    22.813  < 2e-16 ***
ORIGIN_GRID_ID819   5.2044909  0.1310160    39.724  < 2e-16 ***
ORIGIN_GRID_ID824   1.2131666  0.1361827     8.908  < 2e-16 ***
ORIGIN_GRID_ID826   2.7928254  0.1298927    21.501  < 2e-16 ***
ORIGIN_GRID_ID827   4.7956964  0.1295082    37.030  < 2e-16 ***
ORIGIN_GRID_ID828   5.2050265  0.1295007    40.193  < 2e-16 ***
ORIGIN_GRID_ID829   5.2608639  0.1295331    40.614  < 2e-16 ***
ORIGIN_GRID_ID830   5.5537083  0.1295569    42.867  < 2e-16 ***
ORIGIN_GRID_ID831   6.3956996  0.1294808    49.395  < 2e-16 ***
ORIGIN_GRID_ID832   5.4858435  0.1296429    42.315  < 2e-16 ***
ORIGIN_GRID_ID835   2.9241291  0.1328928    22.004  < 2e-16 ***
ORIGIN_GRID_ID844   0.2995635  0.1512370     1.981 0.047619 *  
ORIGIN_GRID_ID846   4.2047339  0.1295669    32.452  < 2e-16 ***
ORIGIN_GRID_ID847   3.2147711  0.1298669    24.754  < 2e-16 ***
ORIGIN_GRID_ID848   4.5745868  0.1295419    35.314  < 2e-16 ***
ORIGIN_GRID_ID849   3.8274038  0.1297005    29.510  < 2e-16 ***
ORIGIN_GRID_ID850   4.6759141  0.1295794    36.085  < 2e-16 ***
ORIGIN_GRID_ID851   5.2868309  0.1295187    40.819  < 2e-16 ***
ORIGIN_GRID_ID852   4.8244263  0.1296188    37.220  < 2e-16 ***
ORIGIN_GRID_ID853   6.8141686  0.1295285    52.608  < 2e-16 ***
ORIGIN_GRID_ID854   3.1979741  0.1321551    24.199  < 2e-16 ***
ORIGIN_GRID_ID855   1.7329059  0.1373024    12.621  < 2e-16 ***
ORIGIN_GRID_ID856   3.4020601  0.1309108    25.988  < 2e-16 ***
ORIGIN_GRID_ID866   2.1331690  0.1326331    16.083  < 2e-16 ***
ORIGIN_GRID_ID867   3.0466309  0.1300574    23.425  < 2e-16 ***
ORIGIN_GRID_ID868   2.0904108  0.1312943    15.922  < 2e-16 ***
ORIGIN_GRID_ID869   4.9929713  0.1295928    38.528  < 2e-16 ***
ORIGIN_GRID_ID870   5.7478461  0.1294789    44.392  < 2e-16 ***
ORIGIN_GRID_ID871   5.5571469  0.1296003    42.879  < 2e-16 ***
ORIGIN_GRID_ID872   3.4766127  0.1299902    26.745  < 2e-16 ***
ORIGIN_GRID_ID873   3.6908701  0.1299054    28.412  < 2e-16 ***
ORIGIN_GRID_ID874   4.0350862  0.1297229    31.105  < 2e-16 ***
ORIGIN_GRID_ID875   0.9326164  0.1470840     6.341 2.29e-10 ***
ORIGIN_GRID_ID876   2.1637190  0.1332827    16.234  < 2e-16 ***
ORIGIN_GRID_ID877   1.6099570  0.1364466    11.799  < 2e-16 ***
ORIGIN_GRID_ID887   2.4402124  0.1302387    18.736  < 2e-16 ***
ORIGIN_GRID_ID888   3.9027259  0.1296664    30.098  < 2e-16 ***
ORIGIN_GRID_ID889   0.8229380  0.1340861     6.137 8.39e-10 ***
ORIGIN_GRID_ID890   5.1919487  0.1295000    40.092  < 2e-16 ***
ORIGIN_GRID_ID891   3.9233256  0.1299888    30.182  < 2e-16 ***
ORIGIN_GRID_ID893   5.3400047  0.1295113    41.232  < 2e-16 ***
ORIGIN_GRID_ID894   3.5834988  0.1299033    27.586  < 2e-16 ***
ORIGIN_GRID_ID895   3.0867269  0.1304192    23.668  < 2e-16 ***
ORIGIN_GRID_ID896   1.8558622  0.1331805    13.935  < 2e-16 ***
ORIGIN_GRID_ID897   0.1004059  0.1496222     0.671 0.502180    
ORIGIN_GRID_ID898   2.3710565  0.1337102    17.733  < 2e-16 ***
ORIGIN_GRID_ID908   3.9008951  0.1300987    29.984  < 2e-16 ***
ORIGIN_GRID_ID909   3.9088610  0.1295898    30.163  < 2e-16 ***
ORIGIN_GRID_ID910   2.0513082  0.1305997    15.707  < 2e-16 ***
ORIGIN_GRID_ID911   3.3426310  0.1297943    25.753  < 2e-16 ***
ORIGIN_GRID_ID912   4.9177569  0.1295194    37.969  < 2e-16 ***
ORIGIN_GRID_ID915   5.2349962  0.1295233    40.417  < 2e-16 ***
ORIGIN_GRID_ID917   4.7880616  0.1296687    36.925  < 2e-16 ***
ORIGIN_GRID_ID918   1.0928637  0.1360521     8.033 9.54e-16 ***
ORIGIN_GRID_ID919   4.2809051  0.1298003    32.981  < 2e-16 ***
ORIGIN_GRID_ID928   2.7461185  0.1303441    21.068  < 2e-16 ***
ORIGIN_GRID_ID929   4.3399173  0.1295308    33.505  < 2e-16 ***
ORIGIN_GRID_ID930   5.1857429  0.1294820    40.050  < 2e-16 ***
ORIGIN_GRID_ID931   2.1499270  0.1307374    16.445  < 2e-16 ***
ORIGIN_GRID_ID932   2.6751132  0.1307608    20.458  < 2e-16 ***
ORIGIN_GRID_ID933   4.7866598  0.1295802    36.940  < 2e-16 ***
ORIGIN_GRID_ID934   2.2459312  0.1310293    17.141  < 2e-16 ***
ORIGIN_GRID_ID935   6.1024596  0.1294800    47.131  < 2e-16 ***
ORIGIN_GRID_ID938  -1.8237896  0.3061117    -5.958 2.55e-09 ***
ORIGIN_GRID_ID939   6.0155975  0.1295226    46.444  < 2e-16 ***
ORIGIN_GRID_ID940   0.1113370  0.1603074     0.695 0.487355    
ORIGIN_GRID_ID949   2.6006431  0.1302916    19.960  < 2e-16 ***
ORIGIN_GRID_ID950   4.7580462  0.1295514    36.727  < 2e-16 ***
ORIGIN_GRID_ID951   5.6181141  0.1294733    43.392  < 2e-16 ***
ORIGIN_GRID_ID952   2.3296815  0.1313921    17.731  < 2e-16 ***
ORIGIN_GRID_ID953   3.5024960  0.1298552    26.972  < 2e-16 ***
ORIGIN_GRID_ID954   2.3897088  0.1307481    18.277  < 2e-16 ***
ORIGIN_GRID_ID955   4.6526088  0.1295812    35.905  < 2e-16 ***
ORIGIN_GRID_ID956   3.0600450  0.1300303    23.533  < 2e-16 ***
ORIGIN_GRID_ID957   5.2444236  0.1295871    40.470  < 2e-16 ***
ORIGIN_GRID_ID959   1.2460318  0.1401454     8.891  < 2e-16 ***
ORIGIN_GRID_ID961   1.1948037  0.1343144     8.896  < 2e-16 ***
ORIGIN_GRID_ID962   6.3969950  0.1296705    49.333  < 2e-16 ***
ORIGIN_GRID_ID970   3.1642730  0.1297337    24.391  < 2e-16 ***
ORIGIN_GRID_ID971   4.4967193  0.1295063    34.722  < 2e-16 ***
ORIGIN_GRID_ID972   4.4397011  0.1295355    34.274  < 2e-16 ***
ORIGIN_GRID_ID974   4.0474690  0.1296815    31.211  < 2e-16 ***
ORIGIN_GRID_ID975   3.7026826  0.1297874    28.529  < 2e-16 ***
ORIGIN_GRID_ID976   2.4440669  0.1306213    18.711  < 2e-16 ***
ORIGIN_GRID_ID977   5.6141277  0.1295011    43.352  < 2e-16 ***
ORIGIN_GRID_ID978   5.5276259  0.1296484    42.636  < 2e-16 ***
ORIGIN_GRID_ID982   2.4261226  0.1305489    18.584  < 2e-16 ***
ORIGIN_GRID_ID983   7.2858423  0.1295155    56.255  < 2e-16 ***
ORIGIN_GRID_ID984   7.6370347  0.1295726    58.940  < 2e-16 ***
ORIGIN_GRID_ID991   3.1439219  0.1298207    24.217  < 2e-16 ***
ORIGIN_GRID_ID992   3.5143167  0.1296498    27.106  < 2e-16 ***
ORIGIN_GRID_ID993   3.2004916  0.1296993    24.676  < 2e-16 ***
ORIGIN_GRID_ID994   2.7531514  0.1299935    21.179  < 2e-16 ***
ORIGIN_GRID_ID995   4.2424401  0.1295811    32.740  < 2e-16 ***
ORIGIN_GRID_ID996   3.9366370  0.1297048    30.351  < 2e-16 ***
ORIGIN_GRID_ID997   2.7003162  0.1328890    20.320  < 2e-16 ***
ORIGIN_GRID_ID998   5.7219817  0.1295061    44.183  < 2e-16 ***
ORIGIN_GRID_ID999   5.7085853  0.1295842    44.053  < 2e-16 ***
ORIGIN_GRID_ID1001  2.6050389  0.1320387    19.729  < 2e-16 ***
ORIGIN_GRID_ID1003  5.2345269  0.1295286    40.412  < 2e-16 ***
ORIGIN_GRID_ID1004  6.0022075  0.1294980    46.350  < 2e-16 ***
ORIGIN_GRID_ID1011  1.3621888  0.1339499    10.169  < 2e-16 ***
ORIGIN_GRID_ID1012  0.9439470  0.1360416     6.939 3.96e-12 ***
ORIGIN_GRID_ID1013  1.8347406  0.1308356    14.023  < 2e-16 ***
ORIGIN_GRID_ID1014  2.7357629  0.1299935    21.045  < 2e-16 ***
ORIGIN_GRID_ID1015  2.0382860  0.1308012    15.583  < 2e-16 ***
ORIGIN_GRID_ID1016  3.8702403  0.1296942    29.841  < 2e-16 ***
ORIGIN_GRID_ID1018  4.6072515  0.1298512    35.481  < 2e-16 ***
ORIGIN_GRID_ID1019  6.1294092  0.1295443    47.315  < 2e-16 ***
ORIGIN_GRID_ID1023  4.2275138  0.1298149    32.566  < 2e-16 ***
ORIGIN_GRID_ID1024  5.2607386  0.1295385    40.611  < 2e-16 ***
ORIGIN_GRID_ID1025  0.4667723  0.1461896     3.193 0.001408 ** 
ORIGIN_GRID_ID1033  2.4771423  0.1301146    19.038  < 2e-16 ***
ORIGIN_GRID_ID1034  3.4985125  0.1296893    26.976  < 2e-16 ***
ORIGIN_GRID_ID1035  4.2753315  0.1295705    32.996  < 2e-16 ***
ORIGIN_GRID_ID1036  2.0692287  0.1307327    15.828  < 2e-16 ***
ORIGIN_GRID_ID1037  3.4845514  0.1296811    26.870  < 2e-16 ***
ORIGIN_GRID_ID1043  2.5297262  0.1322113    19.134  < 2e-16 ***
ORIGIN_GRID_ID1045  4.9092459  0.1295352    37.899  < 2e-16 ***
ORIGIN_GRID_ID1046  4.8625929  0.1295650    37.530  < 2e-16 ***
ORIGIN_GRID_ID1053  4.0761260  0.1295987    31.452  < 2e-16 ***
ORIGIN_GRID_ID1054  2.9527871  0.1297879    22.751  < 2e-16 ***
ORIGIN_GRID_ID1055  4.1349391  0.1295642    31.914  < 2e-16 ***
ORIGIN_GRID_ID1056  3.1382414  0.1298386    24.170  < 2e-16 ***
ORIGIN_GRID_ID1064  0.2313295  0.2889116     0.801 0.423309    
ORIGIN_GRID_ID1066  4.6060612  0.1295634    35.551  < 2e-16 ***
ORIGIN_GRID_ID1067 -0.9412859  0.2417407    -3.894 9.87e-05 ***
ORIGIN_GRID_ID1074  3.3613756  0.1297265    25.911  < 2e-16 ***
ORIGIN_GRID_ID1075  2.5478590  0.1300210    19.596  < 2e-16 ***
ORIGIN_GRID_ID1076  2.8386045  0.1297927    21.870  < 2e-16 ***
ORIGIN_GRID_ID1077  2.9991050  0.1299392    23.081  < 2e-16 ***
ORIGIN_GRID_ID1079  4.4037911  0.1295736    33.987  < 2e-16 ***
ORIGIN_GRID_ID1085 -1.4942062  0.2215643    -6.744 1.54e-11 ***
ORIGIN_GRID_ID1087  4.6117800  0.1295951    35.586  < 2e-16 ***
ORIGIN_GRID_ID1088  2.8910933  0.1300632    22.228  < 2e-16 ***
ORIGIN_GRID_ID1094  1.3886800  0.1386628    10.015  < 2e-16 ***
ORIGIN_GRID_ID1095  0.7895967  0.1368177     5.771 7.87e-09 ***
ORIGIN_GRID_ID1096  2.8250934  0.1314548    21.491  < 2e-16 ***
ORIGIN_GRID_ID1097  4.7965179  0.1295064    37.037  < 2e-16 ***
ORIGIN_GRID_ID1098  2.3983914  0.1309875    18.310  < 2e-16 ***
ORIGIN_GRID_ID1099  3.8189156  0.1296538    29.455  < 2e-16 ***
ORIGIN_GRID_ID1105  1.3177338  0.1520070     8.669  < 2e-16 ***
ORIGIN_GRID_ID1106 -0.2230008  0.1726097    -1.292 0.196379    
ORIGIN_GRID_ID1107  2.2010992  0.1330997    16.537  < 2e-16 ***
ORIGIN_GRID_ID1108  6.5363295  0.1294793    50.482  < 2e-16 ***
ORIGIN_GRID_ID1109  1.6638193  0.1324311    12.564  < 2e-16 ***
ORIGIN_GRID_ID1116  3.1767457  0.1297910    24.476  < 2e-16 ***
ORIGIN_GRID_ID1117  1.5070193  0.1314810    11.462  < 2e-16 ***
ORIGIN_GRID_ID1118  2.0002553  0.1311016    15.257  < 2e-16 ***
ORIGIN_GRID_ID1119  2.9854977  0.1299447    22.975  < 2e-16 ***
ORIGIN_GRID_ID1120  2.9516772  0.1302826    22.656  < 2e-16 ***
ORIGIN_GRID_ID1129  4.9220751  0.1295511    37.993  < 2e-16 ***
ORIGIN_GRID_ID1130  4.9717522  0.1295200    38.386  < 2e-16 ***
ORIGIN_GRID_ID1131  2.9342823  0.1305692    22.473  < 2e-16 ***
ORIGIN_GRID_ID1136  2.2170077  0.1304007    17.001  < 2e-16 ***
ORIGIN_GRID_ID1138  1.0184739  0.1357085     7.505 6.15e-14 ***
ORIGIN_GRID_ID1139  3.9709996  0.1295689    30.648  < 2e-16 ***
ORIGIN_GRID_ID1141  3.9431499  0.1296240    30.420  < 2e-16 ***
ORIGIN_GRID_ID1148  1.4981269  0.1388340    10.791  < 2e-16 ***
ORIGIN_GRID_ID1149  2.6959302  0.1310126    20.578  < 2e-16 ***
ORIGIN_GRID_ID1150  5.1991862  0.1295098    40.145  < 2e-16 ***
ORIGIN_GRID_ID1151  4.0733174  0.1296334    31.422  < 2e-16 ***
ORIGIN_GRID_ID1158  2.2617634  0.1300706    17.389  < 2e-16 ***
ORIGIN_GRID_ID1159  3.7517807  0.1295930    28.950  < 2e-16 ***
ORIGIN_GRID_ID1160  4.7957315  0.1295089    37.030  < 2e-16 ***
ORIGIN_GRID_ID1171  5.7759513  0.1295208    44.595  < 2e-16 ***
ORIGIN_GRID_ID1172  5.5831383  0.1295181    43.107  < 2e-16 ***
ORIGIN_GRID_ID1173  2.8695849  0.1301764    22.044  < 2e-16 ***
ORIGIN_GRID_ID1174 -1.3592719  0.2888991    -4.705 2.54e-06 ***
ORIGIN_GRID_ID1178  2.5015752  0.1300000    19.243  < 2e-16 ***
ORIGIN_GRID_ID1179  3.1744589  0.1296875    24.478  < 2e-16 ***
ORIGIN_GRID_ID1180  4.2756242  0.1295333    33.008  < 2e-16 ***
ORIGIN_GRID_ID1181  3.5621437  0.1296505    27.475  < 2e-16 ***
ORIGIN_GRID_ID1183  2.6609130  0.1302553    20.428  < 2e-16 ***
ORIGIN_GRID_ID1190  1.5872316  0.1390732    11.413  < 2e-16 ***
ORIGIN_GRID_ID1192  4.4637181  0.1296299    34.434  < 2e-16 ***
ORIGIN_GRID_ID1193  4.4458141  0.1295774    34.310  < 2e-16 ***
ORIGIN_GRID_ID1194  2.6667882  0.1304031    20.450  < 2e-16 ***
ORIGIN_GRID_ID1200  3.3420886  0.1296576    25.776  < 2e-16 ***
ORIGIN_GRID_ID1201  3.1206538  0.1296973    24.061  < 2e-16 ***
ORIGIN_GRID_ID1203  4.0313110  0.1296076    31.104  < 2e-16 ***
ORIGIN_GRID_ID1204  3.8794258  0.1296304    29.927  < 2e-16 ***
ORIGIN_GRID_ID1211  0.3767496  0.2538829     1.484 0.137822    
ORIGIN_GRID_ID1214  5.2596277  0.1295276    40.606  < 2e-16 ***
ORIGIN_GRID_ID1215  1.6359589  0.1368581    11.954  < 2e-16 ***
ORIGIN_GRID_ID1216  0.7661547  0.1365196     5.612 2.00e-08 ***
ORIGIN_GRID_ID1220  4.2950521  0.1295318    33.158  < 2e-16 ***
ORIGIN_GRID_ID1221  3.9885297  0.1295449    30.789  < 2e-16 ***
ORIGIN_GRID_ID1222  3.6511656  0.1298980    28.108  < 2e-16 ***
ORIGIN_GRID_ID1223  1.9409617  0.1308655    14.832  < 2e-16 ***
ORIGIN_GRID_ID1224  2.8147645  0.1299928    21.653  < 2e-16 ***
ORIGIN_GRID_ID1231 -1.1229725  0.2382831    -4.713 2.44e-06 ***
ORIGIN_GRID_ID1232  1.5084913  0.1571621     9.598  < 2e-16 ***
ORIGIN_GRID_ID1235  2.7645251  0.1302555    21.224  < 2e-16 ***
ORIGIN_GRID_ID1236  2.5426870  0.1303673    19.504  < 2e-16 ***
ORIGIN_GRID_ID1241  2.5176658  0.1299736    19.371  < 2e-16 ***
ORIGIN_GRID_ID1242  3.1909520  0.1296660    24.609  < 2e-16 ***
ORIGIN_GRID_ID1243  3.8013067  0.1295643    29.339  < 2e-16 ***
ORIGIN_GRID_ID1246  2.9961166  0.1298684    23.070  < 2e-16 ***
ORIGIN_GRID_ID1256  4.2209013  0.1296836    32.548  < 2e-16 ***
ORIGIN_GRID_ID1257  5.1124974  0.1295794    39.455  < 2e-16 ***
ORIGIN_GRID_ID1258  3.0598355  0.1303269    23.478  < 2e-16 ***
ORIGIN_GRID_ID1262  2.9618378  0.1297723    22.823  < 2e-16 ***
ORIGIN_GRID_ID1263  3.3987079  0.1295950    26.226  < 2e-16 ***
ORIGIN_GRID_ID1264  2.3822735  0.1302348    18.292  < 2e-16 ***
ORIGIN_GRID_ID1265  2.0603736  0.1307142    15.762  < 2e-16 ***
ORIGIN_GRID_ID1266  3.7007552  0.1297084    28.531  < 2e-16 ***
ORIGIN_GRID_ID1267  1.5897728  0.1336323    11.897  < 2e-16 ***
ORIGIN_GRID_ID1272 -0.8208383  0.1962384    -4.183 2.88e-05 ***
ORIGIN_GRID_ID1273  3.5180052  0.1301366    27.033  < 2e-16 ***
ORIGIN_GRID_ID1277  5.1748134  0.1295299    39.951  < 2e-16 ***
ORIGIN_GRID_ID1278  2.5545537  0.1303166    19.603  < 2e-16 ***
ORIGIN_GRID_ID1283  4.6711268  0.1295217    36.064  < 2e-16 ***
ORIGIN_GRID_ID1284  3.9411748  0.1295578    30.420  < 2e-16 ***
ORIGIN_GRID_ID1285  4.5727893  0.1295054    35.310  < 2e-16 ***
ORIGIN_GRID_ID1286  2.7600581  0.1300137    21.229  < 2e-16 ***
ORIGIN_GRID_ID1289  1.1192065  0.1403944     7.972 1.56e-15 ***
ORIGIN_GRID_ID1293  0.2433618  0.1533844     1.587 0.112600    
ORIGIN_GRID_ID1294  5.0161402  0.1296160    38.700  < 2e-16 ***
ORIGIN_GRID_ID1295  2.4502333  0.1314309    18.643  < 2e-16 ***
ORIGIN_GRID_ID1298  4.2519153  0.1296536    32.794  < 2e-16 ***
ORIGIN_GRID_ID1299  4.6170553  0.1296170    35.621  < 2e-16 ***
ORIGIN_GRID_ID1304  4.5763567  0.1295203    35.333  < 2e-16 ***
ORIGIN_GRID_ID1305  3.9349022  0.1295315    30.378  < 2e-16 ***
ORIGIN_GRID_ID1307  0.1549684  0.1400384     1.107 0.268461    
ORIGIN_GRID_ID1308  3.7597806  0.1296338    29.003  < 2e-16 ***
ORIGIN_GRID_ID1310 -1.0825770  0.2689192    -4.026 5.68e-05 ***
ORIGIN_GRID_ID1316  1.5498682  0.1344863    11.524  < 2e-16 ***
ORIGIN_GRID_ID1317  3.2295363  0.1300192    24.839  < 2e-16 ***
ORIGIN_GRID_ID1318  2.5227906  0.1305432    19.325  < 2e-16 ***
ORIGIN_GRID_ID1319  5.4871546  0.1295216    42.365  < 2e-16 ***
ORIGIN_GRID_ID1320  4.0379363  0.1297846    31.113  < 2e-16 ***
ORIGIN_GRID_ID1325  2.1789374  0.1301675    16.739  < 2e-16 ***
ORIGIN_GRID_ID1326  4.1432950  0.1295269    31.988  < 2e-16 ***
ORIGIN_GRID_ID1327  3.8787318  0.1295514    29.940  < 2e-16 ***
ORIGIN_GRID_ID1328  2.4971168  0.1299301    19.219  < 2e-16 ***
ORIGIN_GRID_ID1329  2.7918519  0.1301149    21.457  < 2e-16 ***
ORIGIN_GRID_ID1330  3.6792124  0.1297656    28.353  < 2e-16 ***
ORIGIN_GRID_ID1331 -1.3192443  0.3576114    -3.689 0.000225 ***
ORIGIN_GRID_ID1333  3.0796911  0.1301369    23.665  < 2e-16 ***
ORIGIN_GRID_ID1334  3.3346033  0.1300422    25.642  < 2e-16 ***
ORIGIN_GRID_ID1335  2.9346059  0.1307106    22.451  < 2e-16 ***
ORIGIN_GRID_ID1336  0.1070655  0.1897186     0.564 0.572524    
ORIGIN_GRID_ID1337  0.4999919  0.1417573     3.527 0.000420 ***
ORIGIN_GRID_ID1338 -0.8942589  0.1724814    -5.185 2.16e-07 ***
ORIGIN_GRID_ID1339  5.3258581  0.1295176    41.121  < 2e-16 ***
ORIGIN_GRID_ID1340  3.7443747  0.1297874    28.850  < 2e-16 ***
ORIGIN_GRID_ID1341  0.8444983  0.2584338     3.268 0.001084 ** 
ORIGIN_GRID_ID1346  3.7631360  0.1296375    29.028  < 2e-16 ***
ORIGIN_GRID_ID1347  4.7620895  0.1295069    36.771  < 2e-16 ***
ORIGIN_GRID_ID1348  3.1107620  0.1296550    23.993  < 2e-16 ***
ORIGIN_GRID_ID1349  2.9350237  0.1298055    22.611  < 2e-16 ***
ORIGIN_GRID_ID1350  3.2858980  0.1299912    25.278  < 2e-16 ***
ORIGIN_GRID_ID1353  3.0854613  0.1298986    23.753  < 2e-16 ***
ORIGIN_GRID_ID1354  2.8453012  0.1301870    21.855  < 2e-16 ***
ORIGIN_GRID_ID1355  3.6657993  0.1297738    28.248  < 2e-16 ***
ORIGIN_GRID_ID1357  2.6871868  0.1310859    20.499  < 2e-16 ***
ORIGIN_GRID_ID1358  4.0924742  0.1296872    31.556  < 2e-16 ***
ORIGIN_GRID_ID1359  4.3740010  0.1295758    33.756  < 2e-16 ***
ORIGIN_GRID_ID1360  4.5002285  0.1295775    34.730  < 2e-16 ***
ORIGIN_GRID_ID1361  5.5974930  0.1295300    43.214  < 2e-16 ***
ORIGIN_GRID_ID1362  1.7086920  0.1359624    12.567  < 2e-16 ***
ORIGIN_GRID_ID1368  2.6286759  0.1298059    20.251  < 2e-16 ***
ORIGIN_GRID_ID1369  2.3347830  0.1298682    17.978  < 2e-16 ***
ORIGIN_GRID_ID1370  3.5689889  0.1295748    27.544  < 2e-16 ***
ORIGIN_GRID_ID1371  2.9541775  0.1299329    22.736  < 2e-16 ***
ORIGIN_GRID_ID1372  2.2670563  0.1301972    17.412  < 2e-16 ***
ORIGIN_GRID_ID1373  0.6496382  0.1397512     4.649 3.34e-06 ***
ORIGIN_GRID_ID1374  2.5739084  0.1300929    19.785  < 2e-16 ***
ORIGIN_GRID_ID1375  4.1129784  0.1297222    31.706  < 2e-16 ***
ORIGIN_GRID_ID1376  3.4041269  0.1301996    26.145  < 2e-16 ***
ORIGIN_GRID_ID1379  1.7169568  0.1344531    12.770  < 2e-16 ***
ORIGIN_GRID_ID1380  5.7188048  0.1294947    44.162  < 2e-16 ***
ORIGIN_GRID_ID1381  5.3070919  0.1295171    40.976  < 2e-16 ***
ORIGIN_GRID_ID1382  4.8010838  0.1296224    37.039  < 2e-16 ***
ORIGIN_GRID_ID1383  2.4105667  0.1320031    18.261  < 2e-16 ***
ORIGIN_GRID_ID1388  3.1647932  0.1296679    24.407  < 2e-16 ***
ORIGIN_GRID_ID1389  1.9076729  0.1300750    14.666  < 2e-16 ***
ORIGIN_GRID_ID1390  3.0545389  0.1296826    23.554  < 2e-16 ***
ORIGIN_GRID_ID1391  3.1440758  0.1297334    24.235  < 2e-16 ***
ORIGIN_GRID_ID1392  2.6483165  0.1308362    20.241  < 2e-16 ***
ORIGIN_GRID_ID1393  1.8181323  0.1304832    13.934  < 2e-16 ***
ORIGIN_GRID_ID1394  3.2705018  0.1297144    25.213  < 2e-16 ***
ORIGIN_GRID_ID1395  3.3471726  0.1297126    25.805  < 2e-16 ***
ORIGIN_GRID_ID1396  4.4581238  0.1295633    34.409  < 2e-16 ***
ORIGIN_GRID_ID1397  4.5332998  0.1295722    34.987  < 2e-16 ***
ORIGIN_GRID_ID1398  3.4666942  0.1299893    26.669  < 2e-16 ***
ORIGIN_GRID_ID1400  4.6362913  0.1296314    35.765  < 2e-16 ***
ORIGIN_GRID_ID1401  5.7504696  0.1294892    44.409  < 2e-16 ***
ORIGIN_GRID_ID1402  4.9750631  0.1295383    38.406  < 2e-16 ***
ORIGIN_GRID_ID1404  5.0850101  0.1304504    38.980  < 2e-16 ***
ORIGIN_GRID_ID1410  2.6793412  0.1297422    20.651  < 2e-16 ***
ORIGIN_GRID_ID1411  2.7217848  0.1297641    20.975  < 2e-16 ***
ORIGIN_GRID_ID1412  2.9893343  0.1296547    23.056  < 2e-16 ***
ORIGIN_GRID_ID1413  3.8827367  0.1295706    29.966  < 2e-16 ***
ORIGIN_GRID_ID1414  3.2568073  0.1296383    25.122  < 2e-16 ***
ORIGIN_GRID_ID1415  2.8016999  0.1298485    21.577  < 2e-16 ***
ORIGIN_GRID_ID1416  3.4780751  0.1296640    26.824  < 2e-16 ***
ORIGIN_GRID_ID1417  3.6156930  0.1296461    27.889  < 2e-16 ***
ORIGIN_GRID_ID1418  4.4301719  0.1295543    34.195  < 2e-16 ***
ORIGIN_GRID_ID1419  3.9006276  0.1296472    30.086  < 2e-16 ***
ORIGIN_GRID_ID1422  5.1652886  0.1295466    39.872  < 2e-16 ***
ORIGIN_GRID_ID1423  5.9025080  0.1295061    45.577  < 2e-16 ***
ORIGIN_GRID_ID1430  3.4767218  0.1296258    26.821  < 2e-16 ***
ORIGIN_GRID_ID1431  3.4462093  0.1295756    26.596  < 2e-16 ***
ORIGIN_GRID_ID1432  3.5722668  0.1295648    27.571  < 2e-16 ***
ORIGIN_GRID_ID1433  2.3160751  0.1307329    17.716  < 2e-16 ***
ORIGIN_GRID_ID1434  3.8508584  0.1295847    29.717  < 2e-16 ***
ORIGIN_GRID_ID1435  4.2533334  0.1295219    32.839  < 2e-16 ***
ORIGIN_GRID_ID1436  1.1200426  0.1320557     8.482  < 2e-16 ***
ORIGIN_GRID_ID1437  4.4296078  0.1295366    34.196  < 2e-16 ***
ORIGIN_GRID_ID1438  4.9184866  0.1294992    37.981  < 2e-16 ***
ORIGIN_GRID_ID1439  5.5130796  0.1294896    42.575  < 2e-16 ***
ORIGIN_GRID_ID1440  1.9597446  0.1312150    14.935  < 2e-16 ***
ORIGIN_GRID_ID1442  4.8890638  0.1296304    37.715  < 2e-16 ***
ORIGIN_GRID_ID1443  5.8506395  0.1295126    45.174  < 2e-16 ***
ORIGIN_GRID_ID1444  4.9013684  0.1296970    37.791  < 2e-16 ***
ORIGIN_GRID_ID1452  2.5590745  0.1297795    19.719  < 2e-16 ***
ORIGIN_GRID_ID1453  2.6929401  0.1297513    20.755  < 2e-16 ***
ORIGIN_GRID_ID1454  1.7979696  0.1311476    13.710  < 2e-16 ***
ORIGIN_GRID_ID1455  3.2131044  0.1297748    24.759  < 2e-16 ***
ORIGIN_GRID_ID1456  3.6186115  0.1296137    27.918  < 2e-16 ***
ORIGIN_GRID_ID1457  4.4874811  0.1295233    34.646  < 2e-16 ***
ORIGIN_GRID_ID1458  4.8234700  0.1295081    37.245  < 2e-16 ***
ORIGIN_GRID_ID1459  4.2646529  0.1295438    32.921  < 2e-16 ***
ORIGIN_GRID_ID1460  3.4551478  0.1296409    26.652  < 2e-16 ***
ORIGIN_GRID_ID1461  2.1064753  0.1307000    16.117  < 2e-16 ***
ORIGIN_GRID_ID1464  6.3318248  0.1295029    48.893  < 2e-16 ***
ORIGIN_GRID_ID1465  5.8445398  0.1295409    45.117  < 2e-16 ***
ORIGIN_GRID_ID1472  1.1281794  0.1315622     8.575  < 2e-16 ***
ORIGIN_GRID_ID1473  2.0928800  0.1299805    16.101  < 2e-16 ***
ORIGIN_GRID_ID1474  3.2644195  0.1295939    25.190  < 2e-16 ***
ORIGIN_GRID_ID1475  4.2386759  0.1295331    32.723  < 2e-16 ***
ORIGIN_GRID_ID1476  3.5850511  0.1296334    27.655  < 2e-16 ***
ORIGIN_GRID_ID1477  5.1354279  0.1294824    39.661  < 2e-16 ***
ORIGIN_GRID_ID1478  3.4520924  0.1296343    26.629  < 2e-16 ***
ORIGIN_GRID_ID1479  3.6804598  0.1295969    28.399  < 2e-16 ***
ORIGIN_GRID_ID1480  5.5028953  0.1294808    42.500  < 2e-16 ***
ORIGIN_GRID_ID1481  2.8408399  0.1298936    21.871  < 2e-16 ***
ORIGIN_GRID_ID1482  3.0567862  0.1302180    23.474  < 2e-16 ***
ORIGIN_GRID_ID1485  5.8064007  0.1295453    44.821  < 2e-16 ***
ORIGIN_GRID_ID1494  2.3291143  0.1302471    17.882  < 2e-16 ***
ORIGIN_GRID_ID1495  2.5715454  0.1297673    19.817  < 2e-16 ***
ORIGIN_GRID_ID1496  3.7158851  0.1295497    28.683  < 2e-16 ***
ORIGIN_GRID_ID1497  4.0640432  0.1295668    31.366  < 2e-16 ***
ORIGIN_GRID_ID1498  4.4226607  0.1295210    34.146  < 2e-16 ***
ORIGIN_GRID_ID1499  4.6614904  0.1295058    35.994  < 2e-16 ***
ORIGIN_GRID_ID1500  4.5611477  0.1295740    35.201  < 2e-16 ***
ORIGIN_GRID_ID1501  4.7996179  0.1295073    37.061  < 2e-16 ***
ORIGIN_GRID_ID1502  4.2454286  0.1295476    32.771  < 2e-16 ***
ORIGIN_GRID_ID1506  0.3806353  0.1685016     2.259 0.023887 *  
ORIGIN_GRID_ID1515  1.5045978  0.1320470    11.394  < 2e-16 ***
ORIGIN_GRID_ID1516  2.9584912  0.1296911    22.812  < 2e-16 ***
ORIGIN_GRID_ID1517  3.4439597  0.1296567    26.562  < 2e-16 ***
ORIGIN_GRID_ID1518  3.3449247  0.1296891    25.792  < 2e-16 ***
ORIGIN_GRID_ID1519  4.6948232  0.1295531    36.239  < 2e-16 ***
ORIGIN_GRID_ID1520  3.3950764  0.1296534    26.186  < 2e-16 ***
ORIGIN_GRID_ID1521  2.7364277  0.1299278    21.061  < 2e-16 ***
ORIGIN_GRID_ID1522  5.0054001  0.1295000    38.652  < 2e-16 ***
ORIGIN_GRID_ID1523  3.4962562  0.1304742    26.797  < 2e-16 ***
ORIGIN_GRID_ID1524  3.6681333  0.1298432    28.250  < 2e-16 ***
ORIGIN_GRID_ID1527  3.6646477  0.1304970    28.082  < 2e-16 ***
ORIGIN_GRID_ID1535 -0.0222476  0.1641485    -0.136 0.892190    
ORIGIN_GRID_ID1536  0.8566993  0.1342057     6.383 1.73e-10 ***
ORIGIN_GRID_ID1537  1.5539459  0.1310465    11.858  < 2e-16 ***
ORIGIN_GRID_ID1538  3.1872940  0.1296315    24.587  < 2e-16 ***
ORIGIN_GRID_ID1539  3.7224570  0.1295638    28.731  < 2e-16 ***
ORIGIN_GRID_ID1540  4.3175125  0.1295271    33.333  < 2e-16 ***
ORIGIN_GRID_ID1541  5.5109438  0.1295712    42.532  < 2e-16 ***
ORIGIN_GRID_ID1542  2.4570294  0.1304566    18.834  < 2e-16 ***
ORIGIN_GRID_ID1543  3.2839621  0.1314469    24.983  < 2e-16 ***
ORIGIN_GRID_ID1544  4.2543501  0.1296287    32.819  < 2e-16 ***
ORIGIN_GRID_ID1547  1.4569510  0.1427398    10.207  < 2e-16 ***
ORIGIN_GRID_ID1556  1.1187933  0.1488313     7.517 5.60e-14 ***
ORIGIN_GRID_ID1557  0.8693329  0.1347952     6.449 1.12e-10 ***
ORIGIN_GRID_ID1558  2.1097682  0.1311087    16.092  < 2e-16 ***
ORIGIN_GRID_ID1559  3.8467860  0.1295511    29.693  < 2e-16 ***
ORIGIN_GRID_ID1560  4.6938457  0.1295037    36.245  < 2e-16 ***
ORIGIN_GRID_ID1561  4.5596528  0.1295354    35.200  < 2e-16 ***
ORIGIN_GRID_ID1562  1.6215013  0.1312284    12.356  < 2e-16 ***
ORIGIN_GRID_ID1563  3.4379636  0.1296735    26.512  < 2e-16 ***
ORIGIN_GRID_ID1564  2.5975078  0.1302155    19.948  < 2e-16 ***
ORIGIN_GRID_ID1565  2.6590881  0.1302626    20.413  < 2e-16 ***
ORIGIN_GRID_ID1566  2.4087742  0.1310916    18.375  < 2e-16 ***
ORIGIN_GRID_ID1567  0.3332421  0.1605559     2.076 0.037935 *  
ORIGIN_GRID_ID1568  1.2461417  0.1460792     8.531  < 2e-16 ***
ORIGIN_GRID_ID1578 -1.5780755  0.2899354    -5.443 5.24e-08 ***
ORIGIN_GRID_ID1580  2.3203641  0.1306488    17.760  < 2e-16 ***
ORIGIN_GRID_ID1581  1.1584719  0.1312989     8.823  < 2e-16 ***
ORIGIN_GRID_ID1582  4.3839866  0.1295112    33.850  < 2e-16 ***
ORIGIN_GRID_ID1583  2.6470767  0.1312375    20.170  < 2e-16 ***
ORIGIN_GRID_ID1584  2.9210781  0.1299130    22.485  < 2e-16 ***
ORIGIN_GRID_ID1585  3.5480803  0.1298291    27.329  < 2e-16 ***
ORIGIN_GRID_ID1586  2.5381139  0.1301953    19.495  < 2e-16 ***
ORIGIN_GRID_ID1589  0.4098652  0.1608097     2.549 0.010811 *  
ORIGIN_GRID_ID1590  1.2094477  0.1447444     8.356  < 2e-16 ***
ORIGIN_GRID_ID1600  4.4372327  0.1299013    34.159  < 2e-16 ***
ORIGIN_GRID_ID1601  2.9819181  0.1296979    22.991  < 2e-16 ***
ORIGIN_GRID_ID1602  3.6624927  0.1296064    28.259  < 2e-16 ***
ORIGIN_GRID_ID1603  4.5718702  0.1295151    35.300  < 2e-16 ***
ORIGIN_GRID_ID1604  3.0892076  0.1297151    23.815  < 2e-16 ***
ORIGIN_GRID_ID1605  4.4991251  0.1295230    34.736  < 2e-16 ***
ORIGIN_GRID_ID1606  3.9739802  0.1298331    30.608  < 2e-16 ***
ORIGIN_GRID_ID1607  3.2983029  0.1298181    25.407  < 2e-16 ***
ORIGIN_GRID_ID1608  5.3067054  0.1295304    40.969  < 2e-16 ***
ORIGIN_GRID_ID1609  5.1757552  0.1295799    39.943  < 2e-16 ***
ORIGIN_GRID_ID1610  1.7842327  0.1457141    12.245  < 2e-16 ***
ORIGIN_GRID_ID1622  3.0456760  0.1314447    23.171  < 2e-16 ***
ORIGIN_GRID_ID1623  4.3643410  0.1295171    33.697  < 2e-16 ***
ORIGIN_GRID_ID1624  3.1380008  0.1297305    24.189  < 2e-16 ***
ORIGIN_GRID_ID1625  4.5317251  0.1295373    34.984  < 2e-16 ***
ORIGIN_GRID_ID1626  5.2038954  0.1294933    40.187  < 2e-16 ***
ORIGIN_GRID_ID1627  3.5915647  0.1296629    27.699  < 2e-16 ***
ORIGIN_GRID_ID1628  5.3348031  0.1294962    41.197  < 2e-16 ***
ORIGIN_GRID_ID1629  4.3399782  0.1296337    33.479  < 2e-16 ***
ORIGIN_GRID_ID1630  4.4768038  0.1296872    34.520  < 2e-16 ***
ORIGIN_GRID_ID1631  0.7784235  0.1472007     5.288 1.24e-07 ***
ORIGIN_GRID_ID1642  1.8568067  0.1330323    13.958  < 2e-16 ***
ORIGIN_GRID_ID1643  4.3217561  0.1295280    33.365  < 2e-16 ***
ORIGIN_GRID_ID1644  2.1004495  0.1305989    16.083  < 2e-16 ***
ORIGIN_GRID_ID1645  3.5650904  0.1296057    27.507  < 2e-16 ***
ORIGIN_GRID_ID1646  3.4058926  0.1297880    26.242  < 2e-16 ***
ORIGIN_GRID_ID1647  3.7853800  0.1295901    29.210  < 2e-16 ***
ORIGIN_GRID_ID1648  4.4334305  0.1295429    34.224  < 2e-16 ***
ORIGIN_GRID_ID1649  5.2145607  0.1295032    40.266  < 2e-16 ***
ORIGIN_GRID_ID1650  5.3302350  0.1295634    41.140  < 2e-16 ***
ORIGIN_GRID_ID1664 -0.7733142  0.1962788    -3.940 8.15e-05 ***
ORIGIN_GRID_ID1665  4.4962153  0.1295130    34.716  < 2e-16 ***
ORIGIN_GRID_ID1666  3.1840792  0.1296627    24.557  < 2e-16 ***
ORIGIN_GRID_ID1667  4.1844781  0.1299080    32.211  < 2e-16 ***
ORIGIN_GRID_ID1668  4.3364071  0.1295391    33.476  < 2e-16 ***
ORIGIN_GRID_ID1670  5.2317954  0.1294963    40.401  < 2e-16 ***
ORIGIN_GRID_ID1671  5.9524395  0.1295589    45.944  < 2e-16 ***
ORIGIN_GRID_ID1672  5.6252874  0.1295851    43.410  < 2e-16 ***
ORIGIN_GRID_ID1684  3.4636065  0.1301729    26.608  < 2e-16 ***
ORIGIN_GRID_ID1685  4.0641380  0.1295662    31.367  < 2e-16 ***
ORIGIN_GRID_ID1686  3.9228167  0.1295698    30.276  < 2e-16 ***
ORIGIN_GRID_ID1687  3.5059540  0.1296817    27.035  < 2e-16 ***
ORIGIN_GRID_ID1688  3.0426975  0.1297594    23.449  < 2e-16 ***
ORIGIN_GRID_ID1689  2.6432585  0.1301515    20.309  < 2e-16 ***
ORIGIN_GRID_ID1690  4.1599227  0.1296239    32.092  < 2e-16 ***
ORIGIN_GRID_ID1691  4.9485637  0.1295280    38.205  < 2e-16 ***
ORIGIN_GRID_ID1692  4.5393137  0.1297243    34.992  < 2e-16 ***
ORIGIN_GRID_ID1706  3.9987074  0.1296198    30.850  < 2e-16 ***
ORIGIN_GRID_ID1707  3.9528381  0.1295536    30.511  < 2e-16 ***
ORIGIN_GRID_ID1708  4.4573662  0.1295175    34.415  < 2e-16 ***
ORIGIN_GRID_ID1709  3.6057918  0.1296273    27.817  < 2e-16 ***
ORIGIN_GRID_ID1710  4.7791790  0.1295213    36.899  < 2e-16 ***
ORIGIN_GRID_ID1711  4.5230963  0.1295588    34.912  < 2e-16 ***
ORIGIN_GRID_ID1712  5.2083293  0.1294969    40.220  < 2e-16 ***
ORIGIN_GRID_ID1713  2.8339232  0.1301624    21.772  < 2e-16 ***
ORIGIN_GRID_ID1714  5.5128791  0.1295404    42.557  < 2e-16 ***
ORIGIN_GRID_ID1727  4.2571514  0.1295658    32.857  < 2e-16 ***
ORIGIN_GRID_ID1728  4.0688392  0.1295502    31.407  < 2e-16 ***
ORIGIN_GRID_ID1729  3.5347017  0.1295918    27.276  < 2e-16 ***
ORIGIN_GRID_ID1730  1.5773195  0.1315246    11.993  < 2e-16 ***
ORIGIN_GRID_ID1731  4.3765339  0.1295583    33.780  < 2e-16 ***
ORIGIN_GRID_ID1732  4.8940058  0.1295068    37.790  < 2e-16 ***
ORIGIN_GRID_ID1733  4.6939312  0.1295322    36.238  < 2e-16 ***
ORIGIN_GRID_ID1734  5.1231881  0.1295256    39.553  < 2e-16 ***
ORIGIN_GRID_ID1735  6.8581899  0.1296258    52.908  < 2e-16 ***
ORIGIN_GRID_ID1748  2.9256947  0.1298780    22.526  < 2e-16 ***
ORIGIN_GRID_ID1749  3.8938524  0.1295607    30.054  < 2e-16 ***
ORIGIN_GRID_ID1750  3.0459731  0.1296911    23.486  < 2e-16 ***
ORIGIN_GRID_ID1751  2.4362025  0.1299451    18.748  < 2e-16 ***
ORIGIN_GRID_ID1753  4.9607305  0.1295111    38.304  < 2e-16 ***
ORIGIN_GRID_ID1754  5.3192322  0.1294944    41.077  < 2e-16 ***
ORIGIN_GRID_ID1755  4.8776320  0.1295282    37.657  < 2e-16 ***
ORIGIN_GRID_ID1756  4.8259240  0.1295695    37.246  < 2e-16 ***
ORIGIN_GRID_ID1757  2.8364544  0.1338285    21.195  < 2e-16 ***
ORIGIN_GRID_ID1769  3.7745086  0.1296066    29.123  < 2e-16 ***
ORIGIN_GRID_ID1770  3.3692827  0.1298936    25.939  < 2e-16 ***
ORIGIN_GRID_ID1771  2.5007830  0.1299662    19.242  < 2e-16 ***
ORIGIN_GRID_ID1772  1.2843165  0.1322683     9.710  < 2e-16 ***
ORIGIN_GRID_ID1774  4.6718031  0.1295260    36.068  < 2e-16 ***
ORIGIN_GRID_ID1775  4.3423116  0.1295770    33.511  < 2e-16 ***
ORIGIN_GRID_ID1776  5.5263671  0.1294983    42.675  < 2e-16 ***
ORIGIN_GRID_ID1777  5.6095188  0.1295138    43.312  < 2e-16 ***
ORIGIN_GRID_ID1778  5.4076927  0.1300674    41.576  < 2e-16 ***
ORIGIN_GRID_ID1790  4.4364134  0.1295559    34.243  < 2e-16 ***
ORIGIN_GRID_ID1791  3.7798805  0.1296324    29.158  < 2e-16 ***
ORIGIN_GRID_ID1792  3.7745048  0.1296493    29.113  < 2e-16 ***
ORIGIN_GRID_ID1793  1.6172047  0.1304216    12.400  < 2e-16 ***
ORIGIN_GRID_ID1794  1.5787421  0.1326497    11.902  < 2e-16 ***
ORIGIN_GRID_ID1795  1.1586645  0.1339558     8.650  < 2e-16 ***
ORIGIN_GRID_ID1796  5.1877694  0.1295271    40.052  < 2e-16 ***
ORIGIN_GRID_ID1797  5.1910037  0.1295129    40.081  < 2e-16 ***
ORIGIN_GRID_ID1798  5.2439461  0.1295136    40.490  < 2e-16 ***
ORIGIN_GRID_ID1799  4.5035976  0.1296875    34.727  < 2e-16 ***
ORIGIN_GRID_ID1800  3.8376760  0.1324762    28.969  < 2e-16 ***
ORIGIN_GRID_ID1811  3.5285186  0.1296903    27.207  < 2e-16 ***
ORIGIN_GRID_ID1812  4.6774563  0.1295049    36.118  < 2e-16 ***
ORIGIN_GRID_ID1813  4.4769708  0.1295146    34.567  < 2e-16 ***
ORIGIN_GRID_ID1817  5.0892593  0.1295664    39.279  < 2e-16 ***
ORIGIN_GRID_ID1818  5.0386588  0.1295340    38.898  < 2e-16 ***
ORIGIN_GRID_ID1819  5.5507526  0.1295074    42.860  < 2e-16 ***
ORIGIN_GRID_ID1820  2.7655818  0.1346203    20.544  < 2e-16 ***
ORIGIN_GRID_ID1832  4.2123057  0.1295798    32.507  < 2e-16 ***
ORIGIN_GRID_ID1833  3.7591680  0.1296044    29.005  < 2e-16 ***
ORIGIN_GRID_ID1834  4.1064346  0.1295373    31.701  < 2e-16 ***
ORIGIN_GRID_ID1835  3.3930733  0.1296853    26.164  < 2e-16 ***
ORIGIN_GRID_ID1837  0.6406136  0.1440776     4.446 8.74e-06 ***
ORIGIN_GRID_ID1839  4.5075602  0.1296669    34.763  < 2e-16 ***
ORIGIN_GRID_ID1840  6.3004700  0.1294825    48.659  < 2e-16 ***
ORIGIN_GRID_ID1841  1.8086252  0.1374016    13.163  < 2e-16 ***
ORIGIN_GRID_ID1842  6.2708955  0.1299713    48.248  < 2e-16 ***
ORIGIN_GRID_ID1853  4.1726198  0.1295545    32.207  < 2e-16 ***
ORIGIN_GRID_ID1854  4.3667509  0.1295446    33.708  < 2e-16 ***
ORIGIN_GRID_ID1855  4.6758606  0.1295232    36.101  < 2e-16 ***
ORIGIN_GRID_ID1858  2.4597156  0.1322742    18.596  < 2e-16 ***
ORIGIN_GRID_ID1860  5.8323722  0.1297607    44.947  < 2e-16 ***
ORIGIN_GRID_ID1861  5.2984290  0.1295389    40.902  < 2e-16 ***
ORIGIN_GRID_ID1874  4.3262165  0.1296126    33.378  < 2e-16 ***
ORIGIN_GRID_ID1875  2.6848247  0.1301848    20.623  < 2e-16 ***
ORIGIN_GRID_ID1876  4.7487062  0.1299313    36.548  < 2e-16 ***
ORIGIN_GRID_ID1877  4.3945499  0.1295464    33.923  < 2e-16 ***
ORIGIN_GRID_ID1880  0.8356641  0.1385159     6.033 1.61e-09 ***
ORIGIN_GRID_ID1882  5.1394705  0.1295514    39.671  < 2e-16 ***
ORIGIN_GRID_ID1883  5.6486566  0.1297880    43.522  < 2e-16 ***
ORIGIN_GRID_ID1895  4.4595812  0.1295461    34.425  < 2e-16 ***
ORIGIN_GRID_ID1896  2.8399662  0.1298450    21.872  < 2e-16 ***
ORIGIN_GRID_ID1897  3.4723325  0.1297957    26.752  < 2e-16 ***
ORIGIN_GRID_ID1898 -0.9082304  0.1987272    -4.570 4.87e-06 ***
ORIGIN_GRID_ID1901  0.7063593  0.1483586     4.761 1.92e-06 ***
ORIGIN_GRID_ID1903  5.0491019  0.1297745    38.907  < 2e-16 ***
ORIGIN_GRID_ID1917  2.9822210  0.1298458    22.967  < 2e-16 ***
ORIGIN_GRID_ID1918  4.5009882  0.1295946    34.731  < 2e-16 ***
ORIGIN_GRID_ID1919  4.3632105  0.1295637    33.676  < 2e-16 ***
ORIGIN_GRID_ID1922  2.2066815  0.1325037    16.654  < 2e-16 ***
ORIGIN_GRID_ID1924  4.8607624  0.1298154    37.444  < 2e-16 ***
ORIGIN_GRID_ID1937  3.8096978  0.1296567    29.383  < 2e-16 ***
ORIGIN_GRID_ID1938  4.5063857  0.1295321    34.790  < 2e-16 ***
ORIGIN_GRID_ID1939  5.0931635  0.1295203    39.323  < 2e-16 ***
ORIGIN_GRID_ID1942  1.0266151  0.1374728     7.468 8.16e-14 ***
ORIGIN_GRID_ID1959  3.4108415  0.1297730    26.283  < 2e-16 ***
ORIGIN_GRID_ID1960  5.3846030  0.1294846    41.585  < 2e-16 ***
ORIGIN_GRID_ID1961  3.8209126  0.1296537    29.470  < 2e-16 ***
ORIGIN_GRID_ID1962  4.8649895  0.1295275    37.560  < 2e-16 ***
ORIGIN_GRID_ID1964  0.1833982  0.1555282     1.179 0.238320    
ORIGIN_GRID_ID1979  3.7065226  0.1297238    28.572  < 2e-16 ***
ORIGIN_GRID_ID1980  2.0295434  0.1303081    15.575  < 2e-16 ***
ORIGIN_GRID_ID1981  4.4990961  0.1295291    34.734  < 2e-16 ***
ORIGIN_GRID_ID1982  3.5070548  0.1299789    26.982  < 2e-16 ***
ORIGIN_GRID_ID1983  4.7746379  0.1295308    36.861  < 2e-16 ***
ORIGIN_GRID_ID1984  3.4708003  0.1297052    26.759  < 2e-16 ***
ORIGIN_GRID_ID1985  4.2648741  0.1296134    32.905  < 2e-16 ***
ORIGIN_GRID_ID2001  4.0140921  0.1295989    30.973  < 2e-16 ***
ORIGIN_GRID_ID2002  4.5855558  0.1295114    35.407  < 2e-16 ***
ORIGIN_GRID_ID2003  4.2399434  0.1295580    32.726  < 2e-16 ***
ORIGIN_GRID_ID2004  4.8402128  0.1295269    37.368  < 2e-16 ***
ORIGIN_GRID_ID2005  4.7454706  0.1295219    36.638  < 2e-16 ***
ORIGIN_GRID_ID2006  3.2794634  0.1298219    25.261  < 2e-16 ***
ORIGIN_GRID_ID2007  2.7363616  0.1305374    20.962  < 2e-16 ***
ORIGIN_GRID_ID2022  4.3706162  0.1296021    33.723  < 2e-16 ***
ORIGIN_GRID_ID2023  4.8479000  0.1295080    37.433  < 2e-16 ***
ORIGIN_GRID_ID2024  4.1465952  0.1295481    32.008  < 2e-16 ***
ORIGIN_GRID_ID2025  4.2128958  0.1295406    32.522  < 2e-16 ***
ORIGIN_GRID_ID2026  2.9159675  0.1300143    22.428  < 2e-16 ***
ORIGIN_GRID_ID2027  5.1546894  0.1295166    39.799  < 2e-16 ***
ORIGIN_GRID_ID2043  3.7276268  0.1297016    28.740  < 2e-16 ***
ORIGIN_GRID_ID2044  4.4557696  0.1295263    34.400  < 2e-16 ***
ORIGIN_GRID_ID2045 -0.0252116  0.1514517    -0.166 0.867790    
ORIGIN_GRID_ID2046  4.3936796  0.1295158    33.924  < 2e-16 ***
ORIGIN_GRID_ID2047  4.2289789  0.1295650    32.640  < 2e-16 ***
ORIGIN_GRID_ID2048  4.4756824  0.1295400    34.551  < 2e-16 ***
ORIGIN_GRID_ID2049  3.5545493  0.1302061    27.299  < 2e-16 ***
ORIGIN_GRID_ID2064  4.4257907  0.1295551    34.161  < 2e-16 ***
ORIGIN_GRID_ID2065  2.8714782  0.1297673    22.128  < 2e-16 ***
ORIGIN_GRID_ID2066  2.2380805  0.1319817    16.958  < 2e-16 ***
ORIGIN_GRID_ID2067  5.6471900  0.1294808    43.614  < 2e-16 ***
ORIGIN_GRID_ID2068  4.0330370  0.1296527    31.106  < 2e-16 ***
ORIGIN_GRID_ID2069  4.3544836  0.1295775    33.605  < 2e-16 ***
ORIGIN_GRID_ID2085  3.2942545  0.1298439    25.371  < 2e-16 ***
ORIGIN_GRID_ID2086  4.7240317  0.1295209    36.473  < 2e-16 ***
ORIGIN_GRID_ID2087  3.3368295  0.1296817    25.731  < 2e-16 ***
ORIGIN_GRID_ID2088  4.0634901  0.1295417    31.368  < 2e-16 ***
ORIGIN_GRID_ID2089  3.8436392  0.1296279    29.651  < 2e-16 ***
ORIGIN_GRID_ID2090  5.3432354  0.1295000    41.261  < 2e-16 ***
ORIGIN_GRID_ID2091  0.6235882  0.1490991     4.182 2.88e-05 ***
ORIGIN_GRID_ID2105  1.3623610  0.1729868     7.876 3.39e-15 ***
ORIGIN_GRID_ID2106  1.6340259  0.1310477    12.469  < 2e-16 ***
ORIGIN_GRID_ID2107  2.7415995  0.1298228    21.118  < 2e-16 ***
ORIGIN_GRID_ID2108  4.0208009  0.1295834    31.029  < 2e-16 ***
ORIGIN_GRID_ID2109  4.1325734  0.1295375    31.903  < 2e-16 ***
ORIGIN_GRID_ID2110  3.5800117  0.1296758    27.607  < 2e-16 ***
ORIGIN_GRID_ID2111  0.6703908  0.1387091     4.833 1.34e-06 ***
ORIGIN_GRID_ID2128  2.4306723  0.1303459    18.648  < 2e-16 ***
ORIGIN_GRID_ID2129  1.8785665  0.1304798    14.397  < 2e-16 ***
ORIGIN_GRID_ID2130  4.5887682  0.1295138    35.431  < 2e-16 ***
ORIGIN_GRID_ID2131  4.9236412  0.1295363    38.010  < 2e-16 ***
ORIGIN_GRID_ID2132  3.8498815  0.1296064    29.704  < 2e-16 ***
ORIGIN_GRID_ID2148  3.3494736  0.1300216    25.761  < 2e-16 ***
ORIGIN_GRID_ID2149  1.9096252  0.1305447    14.628  < 2e-16 ***
ORIGIN_GRID_ID2150  4.4644351  0.1295413    34.463  < 2e-16 ***
ORIGIN_GRID_ID2151  4.9418563  0.1295022    38.160  < 2e-16 ***
ORIGIN_GRID_ID2152  5.1147815  0.1295103    39.493  < 2e-16 ***
ORIGIN_GRID_ID2153  4.4674996  0.1295785    34.477  < 2e-16 ***
ORIGIN_GRID_ID2171  3.4510395  0.1296779    26.612  < 2e-16 ***
ORIGIN_GRID_ID2172  3.5810833  0.1297110    27.608  < 2e-16 ***
ORIGIN_GRID_ID2173  4.1171571  0.1295601    31.778  < 2e-16 ***
ORIGIN_GRID_ID2174  4.3942067  0.1295685    33.914  < 2e-16 ***
ORIGIN_GRID_ID2191  3.0972812  0.1299223    23.839  < 2e-16 ***
ORIGIN_GRID_ID2192  2.8408429  0.1299882    21.855  < 2e-16 ***
ORIGIN_GRID_ID2193  3.7704971  0.1296142    29.090  < 2e-16 ***
ORIGIN_GRID_ID2194  4.2148072  0.1295622    32.531  < 2e-16 ***
ORIGIN_GRID_ID2195  3.5860358  0.1313653    27.298  < 2e-16 ***
ORIGIN_GRID_ID2212  0.3419295  0.1659173     2.061 0.039318 *  
ORIGIN_GRID_ID2213  0.7145195  0.1369915     5.216 1.83e-07 ***
ORIGIN_GRID_ID2214  1.2862755  0.1325062     9.707  < 2e-16 ***
ORIGIN_GRID_ID2215  3.8474378  0.1296565    29.674  < 2e-16 ***
ORIGIN_GRID_ID2216  2.8687319  0.1299585    22.074  < 2e-16 ***
ORIGIN_GRID_ID2233  0.9610781  0.1386201     6.933 4.11e-12 ***
ORIGIN_GRID_ID2234  2.6883173  0.1311526    20.498  < 2e-16 ***
ORIGIN_GRID_ID2235  2.6415543  0.1302306    20.284  < 2e-16 ***
ORIGIN_GRID_ID2236  2.6581568  0.1301256    20.428  < 2e-16 ***
ORIGIN_GRID_ID2237  0.3775735  0.1434775     2.632 0.008499 ** 
ORIGIN_GRID_ID2256  0.3942047  0.1369451     2.879 0.003995 ** 
ORIGIN_GRID_ID2257  2.3998838  0.1310740    18.309  < 2e-16 ***
ORIGIN_GRID_ID2258  1.9301415  0.1305385    14.786  < 2e-16 ***
ORIGIN_GRID_ID2259  1.4100794  0.1354683    10.409  < 2e-16 ***
ORIGIN_GRID_ID2277  2.5821183  0.1350180    19.124  < 2e-16 ***
ORIGIN_GRID_ID2278  2.9734869  0.1304980    22.786  < 2e-16 ***
ORIGIN_GRID_ID2279  1.5464699  0.1311154    11.795  < 2e-16 ***
ORIGIN_GRID_ID2280 -0.6809315  0.1861265    -3.658 0.000254 ***
ORIGIN_GRID_ID2297  4.3897509  0.1298261    33.813  < 2e-16 ***
ORIGIN_GRID_ID2300  0.2711612  0.1471300     1.843 0.065328 .  
ORIGIN_GRID_ID2301  1.8757095  0.1310259    14.316  < 2e-16 ***
ORIGIN_GRID_ID2318  2.4721615  0.1309733    18.875  < 2e-16 ***
ORIGIN_GRID_ID2319  3.0739636  0.1299723    23.651  < 2e-16 ***
ORIGIN_GRID_ID2322  2.9770665  0.1301165    22.880  < 2e-16 ***
ORIGIN_GRID_ID2337  4.0237606  0.1307062    30.785  < 2e-16 ***
ORIGIN_GRID_ID2341  3.4439661  0.1298996    26.513  < 2e-16 ***
ORIGIN_GRID_ID2343  2.2916504  0.1303094    17.586  < 2e-16 ***
ORIGIN_GRID_ID2361  3.1646330  0.1301059    24.324  < 2e-16 ***
ORIGIN_GRID_ID2364 -0.9603101  0.1610705    -5.962 2.49e-09 ***
ORIGIN_GRID_ID2379  3.3998841  0.1311041    25.933  < 2e-16 ***
ORIGIN_GRID_ID2384  2.0344487  0.1306617    15.570  < 2e-16 ***
ORIGIN_GRID_ID2405  1.6650632  0.1308085    12.729  < 2e-16 ***
ORIGIN_GRID_ID2406  0.4187059  0.1355139     3.090 0.002003 ** 
ORIGIN_GRID_ID2426  1.1432452  0.1337364     8.548  < 2e-16 ***
ORIGIN_GRID_ID2427  2.9732093  0.1300135    22.868  < 2e-16 ***
ORIGIN_GRID_ID2505  3.2377742  0.1375560    23.538  < 2e-16 ***
DESTIN_GRID_ID44    1.4622128  0.0599515    24.390  < 2e-16 ***
DESTIN_GRID_ID46    0.5319231  0.0595110     8.938  < 2e-16 ***
DESTIN_GRID_ID66   -0.3327032  0.0737214    -4.513 6.39e-06 ***
DESTIN_GRID_ID67    0.4680626  0.0576879     8.114 4.91e-16 ***
DESTIN_GRID_ID68    0.1769068  0.0596427     2.966 0.003016 ** 
DESTIN_GRID_ID86    0.5438841  0.0661281     8.225  < 2e-16 ***
DESTIN_GRID_ID87   -2.8337114  0.1051549   -26.948  < 2e-16 ***
DESTIN_GRID_ID88   -0.0324119  0.0586927    -0.552 0.580790    
DESTIN_GRID_ID89   -0.5638370  0.0601866    -9.368  < 2e-16 ***
DESTIN_GRID_ID90   -3.6895825  0.7095099    -5.200 1.99e-07 ***
DESTIN_GRID_ID109  -0.3518091  0.0610847    -5.759 8.44e-09 ***
DESTIN_GRID_ID110  -3.3039875  0.1302717   -25.362  < 2e-16 ***
DESTIN_GRID_ID111   1.1158166  0.0570269    19.567  < 2e-16 ***
DESTIN_GRID_ID112  -2.3570345  0.0649361   -36.298  < 2e-16 ***
DESTIN_GRID_ID128   1.1998830  0.0610711    19.647  < 2e-16 ***
DESTIN_GRID_ID129  -4.2827829  0.1496826   -28.612  < 2e-16 ***
DESTIN_GRID_ID130  -0.5643472  0.0605581    -9.319  < 2e-16 ***
DESTIN_GRID_ID131  -1.2821698  0.0602755   -21.272  < 2e-16 ***
DESTIN_GRID_ID132  -0.7649506  0.0576400   -13.271  < 2e-16 ***
DESTIN_GRID_ID133  -0.6621012  0.0570089   -11.614  < 2e-16 ***
DESTIN_GRID_ID134  -0.5275712  0.0568430    -9.281  < 2e-16 ***
DESTIN_GRID_ID150  -0.1431481  0.0654261    -2.188 0.028674 *  
DESTIN_GRID_ID151  -0.4600586  0.0603655    -7.621 2.51e-14 ***
DESTIN_GRID_ID152   0.4893470  0.0578572     8.458  < 2e-16 ***
DESTIN_GRID_ID153   0.0399034  0.0575502     0.693 0.488079    
DESTIN_GRID_ID154  -2.1150821  0.0625220   -33.829  < 2e-16 ***
DESTIN_GRID_ID155  -1.7234705  0.0590418   -29.191  < 2e-16 ***
DESTIN_GRID_ID156  -1.5943735  0.0601229   -26.519  < 2e-16 ***
DESTIN_GRID_ID172  -1.5253142  0.0719028   -21.214  < 2e-16 ***
DESTIN_GRID_ID174  -1.0284546  0.0579102   -17.759  < 2e-16 ***
DESTIN_GRID_ID175  -0.6188958  0.0566492   -10.925  < 2e-16 ***
DESTIN_GRID_ID176  -1.9698626  0.0631652   -31.186  < 2e-16 ***
DESTIN_GRID_ID195  -2.3265669  0.0638224   -36.454  < 2e-16 ***
DESTIN_GRID_ID196  -0.8845114  0.0566373   -15.617  < 2e-16 ***
DESTIN_GRID_ID197  -4.0916426  0.0951996   -42.980  < 2e-16 ***
DESTIN_GRID_ID215  -0.3756721  0.0633979    -5.926 3.11e-09 ***
DESTIN_GRID_ID216  -0.5098475  0.0579487    -8.798  < 2e-16 ***
DESTIN_GRID_ID217  -0.1795512  0.0565084    -3.177 0.001486 ** 
DESTIN_GRID_ID237  -2.4806836  0.0637294   -38.925  < 2e-16 ***
DESTIN_GRID_ID238  -1.4885385  0.0578225   -25.743  < 2e-16 ***
DESTIN_GRID_ID239  -1.7701573  0.0639681   -27.672  < 2e-16 ***
DESTIN_GRID_ID257   0.4734847  0.0582220     8.132 4.21e-16 ***
DESTIN_GRID_ID258  -1.4019130  0.0590884   -23.726  < 2e-16 ***
DESTIN_GRID_ID259  -0.2953099  0.0570382    -5.177 2.25e-07 ***
DESTIN_GRID_ID278   0.8453824  0.0576984    14.652  < 2e-16 ***
DESTIN_GRID_ID279  -0.8793005  0.0574061   -15.317  < 2e-16 ***
DESTIN_GRID_ID280  -0.6191074  0.0572356   -10.817  < 2e-16 ***
DESTIN_GRID_ID298  -3.8349063  0.1609002   -23.834  < 2e-16 ***
DESTIN_GRID_ID299  -0.5927369  0.0581469   -10.194  < 2e-16 ***
DESTIN_GRID_ID300  -1.1655987  0.0584292   -19.949  < 2e-16 ***
DESTIN_GRID_ID320   0.7312798  0.0576172    12.692  < 2e-16 ***
DESTIN_GRID_ID321  -1.5308394  0.0608580   -25.154  < 2e-16 ***
DESTIN_GRID_ID322  -0.2797520  0.0571089    -4.899 9.65e-07 ***
DESTIN_GRID_ID340   1.4438309  0.0569556    25.350  < 2e-16 ***
DESTIN_GRID_ID341  -0.0510694  0.0571574    -0.893 0.371597    
DESTIN_GRID_ID342  -0.4052381  0.0568450    -7.129 1.01e-12 ***
DESTIN_GRID_ID363  -0.4201841  0.0574597    -7.313 2.62e-13 ***
DESTIN_GRID_ID364  -0.4159469  0.0564053    -7.374 1.65e-13 ***
DESTIN_GRID_ID383   0.5944577  0.0566152    10.500  < 2e-16 ***
DESTIN_GRID_ID384  -0.6047747  0.0564955   -10.705  < 2e-16 ***
DESTIN_GRID_ID385  -1.5860762  0.0579197   -27.384  < 2e-16 ***
DESTIN_GRID_ID404   0.7255789  0.0572961    12.664  < 2e-16 ***
DESTIN_GRID_ID405  -0.0059071  0.0568763    -0.104 0.917281    
DESTIN_GRID_ID406   0.3258141  0.0561275     5.805 6.44e-09 ***
DESTIN_GRID_ID407  -0.1879321  0.0567586    -3.311 0.000929 ***
DESTIN_GRID_ID408   0.9873473  0.0561921    17.571  < 2e-16 ***
DESTIN_GRID_ID425  -1.6470203  0.0611848   -26.919  < 2e-16 ***
DESTIN_GRID_ID426  -1.0627853  0.0568112   -18.707  < 2e-16 ***
DESTIN_GRID_ID427  -3.7286999  0.0618371   -60.299  < 2e-16 ***
DESTIN_GRID_ID428  -1.1507027  0.0571899   -20.121  < 2e-16 ***
DESTIN_GRID_ID429  -1.3421740  0.0608727   -22.049  < 2e-16 ***
DESTIN_GRID_ID446  -0.4338243  0.0605225    -7.168 7.61e-13 ***
DESTIN_GRID_ID447  -1.2630749  0.0584555   -21.607  < 2e-16 ***
DESTIN_GRID_ID448  -1.5744509  0.0570779   -27.584  < 2e-16 ***
DESTIN_GRID_ID449  -0.9369461  0.0563927   -16.615  < 2e-16 ***
DESTIN_GRID_ID450  -1.5402983  0.0573846   -26.842  < 2e-16 ***
DESTIN_GRID_ID468  -0.9105406  0.0569312   -15.994  < 2e-16 ***
DESTIN_GRID_ID469  -1.4550938  0.0565705   -25.722  < 2e-16 ***
DESTIN_GRID_ID470  -1.2622034  0.0564314   -22.367  < 2e-16 ***
DESTIN_GRID_ID471  -1.0928520  0.0585893   -18.653  < 2e-16 ***
DESTIN_GRID_ID488  -0.5084583  0.0602379    -8.441  < 2e-16 ***
DESTIN_GRID_ID489  -2.5912764  0.0737440   -35.139  < 2e-16 ***
DESTIN_GRID_ID490  -0.6759888  0.0565735   -11.949  < 2e-16 ***
DESTIN_GRID_ID491  -3.1600977  0.0584058   -54.106  < 2e-16 ***
DESTIN_GRID_ID493  -3.4993139  0.0743157   -47.087  < 2e-16 ***
DESTIN_GRID_ID494  -1.7057315  0.0605710   -28.161  < 2e-16 ***
DESTIN_GRID_ID509  -0.1488279  0.0580342    -2.564 0.010333 *  
DESTIN_GRID_ID510  -0.4222912  0.0568420    -7.429 1.09e-13 ***
DESTIN_GRID_ID511  -1.2009361  0.0563544   -21.310  < 2e-16 ***
DESTIN_GRID_ID512  -1.5163061  0.0563838   -26.893  < 2e-16 ***
DESTIN_GRID_ID513  -0.3590575  0.0565775    -6.346 2.21e-10 ***
DESTIN_GRID_ID514  -0.6640037  0.0572309   -11.602  < 2e-16 ***
DESTIN_GRID_ID515  -2.1628762  0.0645543   -33.505  < 2e-16 ***
DESTIN_GRID_ID530  -0.7680863  0.0630723   -12.178  < 2e-16 ***
DESTIN_GRID_ID531   1.4426398  0.0562877    25.630  < 2e-16 ***
DESTIN_GRID_ID532  -0.9595440  0.0566302   -16.944  < 2e-16 ***
DESTIN_GRID_ID533   0.1998578  0.0560223     3.567 0.000360 ***
DESTIN_GRID_ID534  -1.2910072  0.0563850   -22.896  < 2e-16 ***
DESTIN_GRID_ID536  -1.5778461  0.0589071   -26.785  < 2e-16 ***
DESTIN_GRID_ID537  -2.3645345  0.0658871   -35.888  < 2e-16 ***
DESTIN_GRID_ID538  -2.6994884  0.0714056   -37.805  < 2e-16 ***
DESTIN_GRID_ID539  -5.0222674  0.2730828   -18.391  < 2e-16 ***
DESTIN_GRID_ID551  -0.1595113  0.0587433    -2.715 0.006620 ** 
DESTIN_GRID_ID552   0.2438787  0.0569888     4.279 1.87e-05 ***
DESTIN_GRID_ID553  -1.7241873  0.0566192   -30.452  < 2e-16 ***
DESTIN_GRID_ID554  -1.7964567  0.0564029   -31.850  < 2e-16 ***
DESTIN_GRID_ID555  -0.5469614  0.0564838    -9.684  < 2e-16 ***
DESTIN_GRID_ID559  -2.8154968  0.0775956   -36.284  < 2e-16 ***
DESTIN_GRID_ID560  -0.4795559  0.0584989    -8.198 2.45e-16 ***
DESTIN_GRID_ID561  -2.8622381  0.0877717   -32.610  < 2e-16 ***
DESTIN_GRID_ID572  -1.0767462  0.0657332   -16.381  < 2e-16 ***
DESTIN_GRID_ID573   0.6074606  0.0569370    10.669  < 2e-16 ***
DESTIN_GRID_ID574  -1.2140643  0.0581368   -20.883  < 2e-16 ***
DESTIN_GRID_ID575   1.2306789  0.0559789    21.985  < 2e-16 ***
DESTIN_GRID_ID576  -1.4025293  0.0563251   -24.901  < 2e-16 ***
DESTIN_GRID_ID578  -4.7699991  0.1209517   -39.437  < 2e-16 ***
DESTIN_GRID_ID582  -3.0697017  0.0844692   -36.341  < 2e-16 ***
DESTIN_GRID_ID583  -4.9468632  0.3820978   -12.947  < 2e-16 ***
DESTIN_GRID_ID584  -1.4975742  0.0666729   -22.462  < 2e-16 ***
DESTIN_GRID_ID593  -1.7095605  0.0615417   -27.779  < 2e-16 ***
DESTIN_GRID_ID594  -0.3950048  0.0577030    -6.845 7.62e-12 ***
DESTIN_GRID_ID595  -0.6066975  0.0562625   -10.783  < 2e-16 ***
DESTIN_GRID_ID596  -1.1948830  0.0561848   -21.267  < 2e-16 ***
DESTIN_GRID_ID597  -1.6667549  0.0580980   -28.689  < 2e-16 ***
DESTIN_GRID_ID603  -2.6222893  0.0769880   -34.061  < 2e-16 ***
DESTIN_GRID_ID604  -2.1614324  0.0755896   -28.594  < 2e-16 ***
DESTIN_GRID_ID615  -1.3122287  0.0578817   -22.671  < 2e-16 ***
DESTIN_GRID_ID616  -0.8295129  0.0566982   -14.630  < 2e-16 ***
DESTIN_GRID_ID617  -1.9204044  0.0567105   -33.863  < 2e-16 ***
DESTIN_GRID_ID618  -1.4180101  0.0563660   -25.157  < 2e-16 ***
DESTIN_GRID_ID620  -1.2680107  0.0571280   -22.196  < 2e-16 ***
DESTIN_GRID_ID637  -1.3320811  0.0570325   -23.357  < 2e-16 ***
DESTIN_GRID_ID638  -1.3965893  0.0563041   -24.804  < 2e-16 ***
DESTIN_GRID_ID657   0.0234156  0.0564124     0.415 0.678085    
DESTIN_GRID_ID658  -0.6912529  0.0563091   -12.276  < 2e-16 ***
DESTIN_GRID_ID659  -0.9990878  0.0562712   -17.755  < 2e-16 ***
DESTIN_GRID_ID660  -0.5976885  0.0561318   -10.648  < 2e-16 ***
DESTIN_GRID_ID662  -1.1652011  0.0573422   -20.320  < 2e-16 ***
DESTIN_GRID_ID677   0.0859237  0.0567691     1.514 0.130137    
DESTIN_GRID_ID678  -1.8271131  0.0577241   -31.653  < 2e-16 ***
DESTIN_GRID_ID679  -0.4007848  0.0561970    -7.132 9.91e-13 ***
DESTIN_GRID_ID680   1.0449607  0.0560168    18.654  < 2e-16 ***
DESTIN_GRID_ID681  -2.8415194  0.0596450   -47.641  < 2e-16 ***
DESTIN_GRID_ID699  -0.4961318  0.0567089    -8.749  < 2e-16 ***
DESTIN_GRID_ID700  -1.0373932  0.0564457   -18.379  < 2e-16 ***
DESTIN_GRID_ID701  -3.5160097  0.0605672   -58.051  < 2e-16 ***
DESTIN_GRID_ID702  -0.8112494  0.0561865   -14.439  < 2e-16 ***
DESTIN_GRID_ID704  -1.6847881  0.0571004   -29.506  < 2e-16 ***
DESTIN_GRID_ID722  -1.5672146  0.0566943   -27.643  < 2e-16 ***
DESTIN_GRID_ID725  -3.8523162  0.0624671   -61.669  < 2e-16 ***
DESTIN_GRID_ID741   0.0538719  0.0564628     0.954 0.340026    
DESTIN_GRID_ID743  -3.6883509  0.0612006   -60.267  < 2e-16 ***
DESTIN_GRID_ID744  -0.7473183  0.0561943   -13.299  < 2e-16 ***
DESTIN_GRID_ID761   0.3483976  0.0566367     6.151 7.68e-10 ***
DESTIN_GRID_ID762  -1.7251745  0.0577563   -29.870  < 2e-16 ***
DESTIN_GRID_ID763  -3.3149530  0.0602145   -55.052  < 2e-16 ***
DESTIN_GRID_ID764  -0.2336378  0.0560895    -4.165 3.11e-05 ***
DESTIN_GRID_ID765  -1.0803201  0.0568283   -19.010  < 2e-16 ***
DESTIN_GRID_ID767  -1.3636823  0.0564482   -24.158  < 2e-16 ***
DESTIN_GRID_ID772  -2.2990853  0.0696955   -32.988  < 2e-16 ***
DESTIN_GRID_ID784  -3.1348465  0.0605057   -51.811  < 2e-16 ***
DESTIN_GRID_ID785  -1.1852740  0.0562697   -21.064  < 2e-16 ***
DESTIN_GRID_ID786  -1.0708303  0.0562012   -19.053  < 2e-16 ***
DESTIN_GRID_ID787  -1.8986629  0.0570915   -33.256  < 2e-16 ***
DESTIN_GRID_ID788  -3.4009293  0.0585568   -58.079  < 2e-16 ***
DESTIN_GRID_ID789  -3.5721654  0.0590489   -60.495  < 2e-16 ***
DESTIN_GRID_ID803  -0.8593171  0.0577451   -14.881  < 2e-16 ***
DESTIN_GRID_ID804  -0.3348720  0.0563503    -5.943 2.80e-09 ***
DESTIN_GRID_ID805   0.5964338  0.0560434    10.642  < 2e-16 ***
DESTIN_GRID_ID806  -1.2869154  0.0562852   -22.864  < 2e-16 ***
DESTIN_GRID_ID807  -1.2651589  0.0564801   -22.400  < 2e-16 ***
DESTIN_GRID_ID808  -2.6763702  0.0588314   -45.492  < 2e-16 ***
DESTIN_GRID_ID809  -1.4835566  0.0562581   -26.371  < 2e-16 ***
DESTIN_GRID_ID810  -1.8101062  0.0566401   -31.958  < 2e-16 ***
DESTIN_GRID_ID814  -1.2165927  0.0598064   -20.342  < 2e-16 ***
DESTIN_GRID_ID819  -0.3467579  0.0584523    -5.932 2.99e-09 ***
DESTIN_GRID_ID824  -0.6418792  0.0577056   -11.123  < 2e-16 ***
DESTIN_GRID_ID826  -0.9411166  0.0563142   -16.712  < 2e-16 ***
DESTIN_GRID_ID827  -1.3116627  0.0563755   -23.267  < 2e-16 ***
DESTIN_GRID_ID828  -1.1460946  0.0562207   -20.386  < 2e-16 ***
DESTIN_GRID_ID829  -1.5970109  0.0566019   -28.215  < 2e-16 ***
DESTIN_GRID_ID830  -3.1232633  0.0579205   -53.923  < 2e-16 ***
DESTIN_GRID_ID831   0.4269597  0.0560451     7.618 2.57e-14 ***
DESTIN_GRID_ID832   0.0461247  0.0561467     0.822 0.411360    
DESTIN_GRID_ID835  -1.6421765  0.0598943   -27.418  < 2e-16 ***
DESTIN_GRID_ID844  -0.9214870  0.0590060   -15.617  < 2e-16 ***
DESTIN_GRID_ID846  -0.9842465  0.0564522   -17.435  < 2e-16 ***
DESTIN_GRID_ID847  -0.2561780  0.0561672    -4.561 5.09e-06 ***
DESTIN_GRID_ID848  -1.4960803  0.0563771   -26.537  < 2e-16 ***
DESTIN_GRID_ID849  -2.1459733  0.0566145   -37.905  < 2e-16 ***
DESTIN_GRID_ID850  -1.3163545  0.0562619   -23.397  < 2e-16 ***
DESTIN_GRID_ID851  -1.9197074  0.0563961   -34.040  < 2e-16 ***
DESTIN_GRID_ID852  -1.9727214  0.0566366   -34.831  < 2e-16 ***
DESTIN_GRID_ID853  -0.9807193  0.0567874   -17.270  < 2e-16 ***
DESTIN_GRID_ID854  -0.8880022  0.0578351   -15.354  < 2e-16 ***
DESTIN_GRID_ID855  -1.8142613  0.0595730   -30.454  < 2e-16 ***
DESTIN_GRID_ID856  -2.4214017  0.0646467   -37.456  < 2e-16 ***
DESTIN_GRID_ID866  -0.1434185  0.0568683    -2.522 0.011671 *  
DESTIN_GRID_ID867   0.3727737  0.0561646     6.637 3.20e-11 ***
DESTIN_GRID_ID868  -0.1434619  0.0562517    -2.550 0.010761 *  
DESTIN_GRID_ID869   0.7646220  0.0562223    13.600  < 2e-16 ***
DESTIN_GRID_ID870   0.2566817  0.0560465     4.580 4.65e-06 ***
DESTIN_GRID_ID871   0.1671360  0.0561276     2.978 0.002903 ** 
DESTIN_GRID_ID872  -1.4625219  0.0563177   -25.969  < 2e-16 ***
DESTIN_GRID_ID873  -1.9107695  0.0566782   -33.713  < 2e-16 ***
DESTIN_GRID_ID874  -3.1275384  0.0577000   -54.203  < 2e-16 ***
DESTIN_GRID_ID875  -2.3732670  0.0624043   -38.031  < 2e-16 ***
DESTIN_GRID_ID876  -2.0164697  0.0591586   -34.086  < 2e-16 ***
DESTIN_GRID_ID877  -1.3931346  0.0578846   -24.067  < 2e-16 ***
DESTIN_GRID_ID887  -0.9652999  0.0567153   -17.020  < 2e-16 ***
DESTIN_GRID_ID888  -2.2232136  0.0578966   -38.400  < 2e-16 ***
DESTIN_GRID_ID889  -1.4981733  0.0574781   -26.065  < 2e-16 ***
DESTIN_GRID_ID890  -0.6358517  0.0562075   -11.313  < 2e-16 ***
DESTIN_GRID_ID891  -2.1904464  0.0580561   -37.730  < 2e-16 ***
DESTIN_GRID_ID893  -0.9200054  0.0561581   -16.382  < 2e-16 ***
DESTIN_GRID_ID894  -2.4994244  0.0571422   -43.740  < 2e-16 ***
DESTIN_GRID_ID895  -1.2894161  0.0567225   -22.732  < 2e-16 ***
DESTIN_GRID_ID896  -3.7202880  0.0653727   -56.909  < 2e-16 ***
DESTIN_GRID_ID897  -3.6980696  0.0643985   -57.425  < 2e-16 ***
DESTIN_GRID_ID898  -1.3867301  0.0584669   -23.718  < 2e-16 ***
DESTIN_GRID_ID908  -0.0739733  0.0570418    -1.297 0.194691    
DESTIN_GRID_ID909  -0.9744166  0.0563500   -17.292  < 2e-16 ***
DESTIN_GRID_ID910  -1.9161865  0.0571994   -33.500  < 2e-16 ***
DESTIN_GRID_ID911   0.1594489  0.0561284     2.841 0.004500 ** 
DESTIN_GRID_ID912  -1.6585197  0.0565504   -29.328  < 2e-16 ***
DESTIN_GRID_ID915  -1.5177522  0.0563125   -26.952  < 2e-16 ***
DESTIN_GRID_ID917  -0.0641671  0.0562612    -1.141 0.254070    
DESTIN_GRID_ID918  -4.3304031  0.0688900   -62.860  < 2e-16 ***
DESTIN_GRID_ID919  -2.7253094  0.0583697   -46.691  < 2e-16 ***
DESTIN_GRID_ID928  -2.0983684  0.0591372   -35.483  < 2e-16 ***
DESTIN_GRID_ID929  -1.2131255  0.0564972   -21.472  < 2e-16 ***
DESTIN_GRID_ID930   0.0504921  0.0560985     0.900 0.368088    
DESTIN_GRID_ID931  -1.4558836  0.0569942   -25.544  < 2e-16 ***
DESTIN_GRID_ID932  -3.1623216  0.0614007   -51.503  < 2e-16 ***
DESTIN_GRID_ID933  -1.1740518  0.0565786   -20.751  < 2e-16 ***
DESTIN_GRID_ID934  -1.3969944  0.0565134   -24.720  < 2e-16 ***
DESTIN_GRID_ID935   0.4444607  0.0560350     7.932 2.16e-15 ***
DESTIN_GRID_ID938  -5.2475266  0.1535294   -34.179  < 2e-16 ***
DESTIN_GRID_ID939   0.5434187  0.0561235     9.683  < 2e-16 ***
DESTIN_GRID_ID940  -3.4778278  0.0597676   -58.189  < 2e-16 ***
DESTIN_GRID_ID949  -1.7253343  0.0581095   -29.691  < 2e-16 ***
DESTIN_GRID_ID950   0.2499424  0.0562158     4.446 8.74e-06 ***
DESTIN_GRID_ID951   0.9727551  0.0560382    17.359  < 2e-16 ***
DESTIN_GRID_ID952  -0.5080668  0.0565274    -8.988  < 2e-16 ***
DESTIN_GRID_ID953  -1.0427091  0.0567066   -18.388  < 2e-16 ***
DESTIN_GRID_ID954  -2.9670241  0.0587723   -50.483  < 2e-16 ***
DESTIN_GRID_ID955  -0.2175132  0.0561621    -3.873 0.000108 ***
DESTIN_GRID_ID956  -2.1714712  0.0568037   -38.228  < 2e-16 ***
DESTIN_GRID_ID957  -2.1335552  0.0568199   -37.549  < 2e-16 ***
DESTIN_GRID_ID959  -1.4844931  0.0594099   -24.987  < 2e-16 ***
DESTIN_GRID_ID961  -1.9445067  0.0573970   -33.878  < 2e-16 ***
DESTIN_GRID_ID962  -0.1648276  0.0563306    -2.926 0.003433 ** 
DESTIN_GRID_ID970  -0.8118304  0.0565568   -14.354  < 2e-16 ***
DESTIN_GRID_ID971  -0.3472479  0.0561691    -6.182 6.32e-10 ***
DESTIN_GRID_ID972  -1.2177137  0.0565049   -21.551  < 2e-16 ***
DESTIN_GRID_ID974  -1.6177109  0.0571216   -28.320  < 2e-16 ***
DESTIN_GRID_ID975  -2.8746344  0.0587338   -48.943  < 2e-16 ***
DESTIN_GRID_ID976  -2.1342346  0.0570368   -37.419  < 2e-16 ***
DESTIN_GRID_ID977  -1.7854284  0.0564092   -31.651  < 2e-16 ***
DESTIN_GRID_ID978  -2.1838612  0.0572031   -38.177  < 2e-16 ***
DESTIN_GRID_ID982  -2.7834906  0.0571897   -48.671  < 2e-16 ***
DESTIN_GRID_ID983   0.1029932  0.0562727     1.830 0.067212 .  
DESTIN_GRID_ID984   1.5165317  0.0564781    26.852  < 2e-16 ***
DESTIN_GRID_ID991  -0.3316807  0.0564567    -5.875 4.23e-09 ***
DESTIN_GRID_ID992  -0.4979542  0.0563631    -8.835  < 2e-16 ***
DESTIN_GRID_ID993  -1.7948383  0.0568617   -31.565  < 2e-16 ***
DESTIN_GRID_ID994  -1.8754811  0.0573394   -32.708  < 2e-16 ***
DESTIN_GRID_ID995  -1.2469841  0.0566539   -22.011  < 2e-16 ***
DESTIN_GRID_ID996  -1.8807386  0.0572830   -32.832  < 2e-16 ***
DESTIN_GRID_ID997  -1.5531018  0.0575535   -26.985  < 2e-16 ***
DESTIN_GRID_ID998  -1.2207008  0.0563539   -21.661  < 2e-16 ***
DESTIN_GRID_ID999  -2.4060880  0.0570858   -42.149  < 2e-16 ***
DESTIN_GRID_ID1001 -1.2568980  0.0581097   -21.630  < 2e-16 ***
DESTIN_GRID_ID1003  0.0845453  0.0561008     1.507 0.131804    
DESTIN_GRID_ID1004 -1.4434659  0.0562940   -25.642  < 2e-16 ***
DESTIN_GRID_ID1011 -0.7710926  0.0573250   -13.451  < 2e-16 ***
DESTIN_GRID_ID1012  0.1740565  0.0565292     3.079 0.002077 ** 
DESTIN_GRID_ID1013 -0.4996487  0.0564257    -8.855  < 2e-16 ***
DESTIN_GRID_ID1014 -2.5187696  0.0588508   -42.799  < 2e-16 ***
DESTIN_GRID_ID1015 -0.0651193  0.0562178    -1.158 0.246725    
DESTIN_GRID_ID1016  0.2543315  0.0561192     4.532 5.84e-06 ***
DESTIN_GRID_ID1018 -2.1017743  0.0574301   -36.597  < 2e-16 ***
DESTIN_GRID_ID1019 -1.3213453  0.0563789   -23.437  < 2e-16 ***
DESTIN_GRID_ID1023 -2.1655230  0.0577327   -37.509  < 2e-16 ***
DESTIN_GRID_ID1024 -1.0948449  0.0563647   -19.424  < 2e-16 ***
DESTIN_GRID_ID1025 -6.0444976  0.1173867   -51.492  < 2e-16 ***
DESTIN_GRID_ID1033  0.0217336  0.0563449     0.386 0.699701    
DESTIN_GRID_ID1034  0.2522215  0.0561840     4.489 7.15e-06 ***
DESTIN_GRID_ID1035  0.1158026  0.0562044     2.060 0.039362 *  
DESTIN_GRID_ID1036  0.2623517  0.0561614     4.671 2.99e-06 ***
DESTIN_GRID_ID1037 -0.9206151  0.0563915   -16.325  < 2e-16 ***
DESTIN_GRID_ID1043 -0.5489616  0.0570945    -9.615  < 2e-16 ***
DESTIN_GRID_ID1045 -1.2763787  0.0563354   -22.657  < 2e-16 ***
DESTIN_GRID_ID1046 -0.8885829  0.0563379   -15.772  < 2e-16 ***
DESTIN_GRID_ID1053  0.6094659  0.0562044    10.844  < 2e-16 ***
DESTIN_GRID_ID1054  0.1829412  0.0562371     3.253 0.001142 ** 
DESTIN_GRID_ID1055 -1.1265051  0.0567496   -19.850  < 2e-16 ***
DESTIN_GRID_ID1056 -1.4877276  0.0572089   -26.005  < 2e-16 ***
DESTIN_GRID_ID1064 -3.7137530  0.1038036   -35.777  < 2e-16 ***
DESTIN_GRID_ID1066 -0.3744355  0.0561603    -6.667 2.61e-11 ***
DESTIN_GRID_ID1067 -6.1182080  0.1534556   -39.870  < 2e-16 ***
DESTIN_GRID_ID1074 -1.5405541  0.0579816   -26.570  < 2e-16 ***
DESTIN_GRID_ID1075 -0.0962122  0.0564291    -1.705 0.088193 .  
DESTIN_GRID_ID1076 -0.6566237  0.0564560   -11.631  < 2e-16 ***
DESTIN_GRID_ID1077 -1.3669684  0.0569771   -23.992  < 2e-16 ***
DESTIN_GRID_ID1079 -0.3920775  0.0563190    -6.962 3.36e-12 ***
DESTIN_GRID_ID1085 -1.9441039  0.0738699   -26.318  < 2e-16 ***
DESTIN_GRID_ID1087 -1.1466382  0.0563695   -20.341  < 2e-16 ***
DESTIN_GRID_ID1088 -0.8595991  0.0563026   -15.267  < 2e-16 ***
DESTIN_GRID_ID1094 -3.1166173  0.0791514   -39.375  < 2e-16 ***
DESTIN_GRID_ID1095 -0.7381430  0.0581852   -12.686  < 2e-16 ***
DESTIN_GRID_ID1096 -0.3387809  0.0584016    -5.801 6.60e-09 ***
DESTIN_GRID_ID1097  0.3325749  0.0561509     5.923 3.16e-09 ***
DESTIN_GRID_ID1098 -2.4036909  0.0607942   -39.538  < 2e-16 ***
DESTIN_GRID_ID1099 -1.1032825  0.0566329   -19.481  < 2e-16 ***
DESTIN_GRID_ID1105  0.8688869  0.0567697    15.305  < 2e-16 ***
DESTIN_GRID_ID1106 -4.2875844  0.1102128   -38.903  < 2e-16 ***
DESTIN_GRID_ID1107 -0.7329182  0.0565363   -12.964  < 2e-16 ***
DESTIN_GRID_ID1108  1.3684800  0.0560412    24.419  < 2e-16 ***
DESTIN_GRID_ID1109 -3.6179256  0.0661126   -54.724  < 2e-16 ***
DESTIN_GRID_ID1116 -0.4899708  0.0566723    -8.646  < 2e-16 ***
DESTIN_GRID_ID1117 -0.1956696  0.0565690    -3.459 0.000542 ***
DESTIN_GRID_ID1118 -2.2026675  0.0594710   -37.038  < 2e-16 ***
DESTIN_GRID_ID1119 -1.5054907  0.0571760   -26.331  < 2e-16 ***
DESTIN_GRID_ID1120 -2.0622914  0.0591041   -34.893  < 2e-16 ***
DESTIN_GRID_ID1129 -1.7798560  0.0566303   -31.429  < 2e-16 ***
DESTIN_GRID_ID1130 -0.9900757  0.0562913   -17.588  < 2e-16 ***
DESTIN_GRID_ID1131  0.1806939  0.0563988     3.204 0.001356 ** 
DESTIN_GRID_ID1136  0.6165746  0.0562272    10.966  < 2e-16 ***
DESTIN_GRID_ID1138 -1.8368569  0.0593292   -30.960  < 2e-16 ***
DESTIN_GRID_ID1139 -1.0148555  0.0565405   -17.949  < 2e-16 ***
DESTIN_GRID_ID1141 -0.9891565  0.0566150   -17.472  < 2e-16 ***
DESTIN_GRID_ID1148 -2.1094629  0.0636420   -33.146  < 2e-16 ***
DESTIN_GRID_ID1149 -2.1337976  0.0577745   -36.933  < 2e-16 ***
DESTIN_GRID_ID1150 -1.7783908  0.0564765   -31.489  < 2e-16 ***
DESTIN_GRID_ID1151 -0.9630634  0.0564086   -17.073  < 2e-16 ***
DESTIN_GRID_ID1158 -1.4018234  0.0572979   -24.466  < 2e-16 ***
DESTIN_GRID_ID1159 -1.2687209  0.0568714   -22.309  < 2e-16 ***
DESTIN_GRID_ID1160  0.3395028  0.0561504     6.046 1.48e-09 ***
DESTIN_GRID_ID1171 -0.7587243  0.0563460   -13.465  < 2e-16 ***
DESTIN_GRID_ID1172  0.5490922  0.0560883     9.790  < 2e-16 ***
DESTIN_GRID_ID1173  0.1311128  0.0562462     2.331 0.019751 *  
DESTIN_GRID_ID1174 -2.1162222  0.0692641   -30.553  < 2e-16 ***
DESTIN_GRID_ID1178  0.7993372  0.0561210    14.243  < 2e-16 ***
DESTIN_GRID_ID1179 -0.1569370  0.0562657    -2.789 0.005284 ** 
DESTIN_GRID_ID1180 -0.0445546  0.0562092    -0.793 0.427978    
DESTIN_GRID_ID1181 -1.2921618  0.0567799   -22.757  < 2e-16 ***
DESTIN_GRID_ID1183  0.4436326  0.0561478     7.901 2.76e-15 ***
DESTIN_GRID_ID1190 -1.9161568  0.0617661   -31.023  < 2e-16 ***
DESTIN_GRID_ID1192 -0.7993081  0.0562830   -14.202  < 2e-16 ***
DESTIN_GRID_ID1193 -0.5416978  0.0562665    -9.627  < 2e-16 ***
DESTIN_GRID_ID1194  0.0954661  0.0563262     1.695 0.090098 .  
DESTIN_GRID_ID1200 -0.5107234  0.0565618    -9.029  < 2e-16 ***
DESTIN_GRID_ID1201 -0.7861972  0.0565853   -13.894  < 2e-16 ***
DESTIN_GRID_ID1203 -0.8681320  0.0566658   -15.320  < 2e-16 ***
DESTIN_GRID_ID1204 -1.0200036  0.0567253   -17.981  < 2e-16 ***
DESTIN_GRID_ID1211 -5.9156713  0.4507525   -13.124  < 2e-16 ***
DESTIN_GRID_ID1214 -1.7415950  0.0567527   -30.687  < 2e-16 ***
DESTIN_GRID_ID1215 -0.8865057  0.0572496   -15.485  < 2e-16 ***
DESTIN_GRID_ID1216 -0.4037739  0.0568984    -7.096 1.28e-12 ***
DESTIN_GRID_ID1220 -0.3070784  0.0563738    -5.447 5.12e-08 ***
DESTIN_GRID_ID1221  0.2739762  0.0561645     4.878 1.07e-06 ***
DESTIN_GRID_ID1222 -0.9280494  0.0575813   -16.117  < 2e-16 ***
DESTIN_GRID_ID1223 -1.5900240  0.0575691   -27.619  < 2e-16 ***
DESTIN_GRID_ID1224 -0.7832623  0.0565781   -13.844  < 2e-16 ***
DESTIN_GRID_ID1231 -3.3950688  0.0847194   -40.074  < 2e-16 ***
DESTIN_GRID_ID1232 -1.3990563  0.0601363   -23.265  < 2e-16 ***
DESTIN_GRID_ID1235 -0.8428778  0.0563281   -14.964  < 2e-16 ***
DESTIN_GRID_ID1236 -0.9225098  0.0566541   -16.283  < 2e-16 ***
DESTIN_GRID_ID1241 -1.6004766  0.0574204   -27.873  < 2e-16 ***
DESTIN_GRID_ID1242 -1.1273886  0.0568413   -19.834  < 2e-16 ***
DESTIN_GRID_ID1243  0.0600661  0.0562337     1.068 0.285453    
DESTIN_GRID_ID1246 -1.2647683  0.0568252   -22.257  < 2e-16 ***
DESTIN_GRID_ID1256 -1.6008330  0.0567097   -28.229  < 2e-16 ***
DESTIN_GRID_ID1257 -0.4241964  0.0563674    -7.526 5.25e-14 ***
DESTIN_GRID_ID1258  0.5598821  0.0562445     9.954  < 2e-16 ***
DESTIN_GRID_ID1262 -1.9005625  0.0579243   -32.811  < 2e-16 ***
DESTIN_GRID_ID1263  0.4495690  0.0561059     8.013 1.12e-15 ***
DESTIN_GRID_ID1264 -0.3474671  0.0565249    -6.147 7.89e-10 ***
DESTIN_GRID_ID1265 -0.4422361  0.0566182    -7.811 5.68e-15 ***
DESTIN_GRID_ID1266 -0.4149882  0.0564482    -7.352 1.96e-13 ***
DESTIN_GRID_ID1267 -2.0472886  0.0593768   -34.480  < 2e-16 ***
DESTIN_GRID_ID1272 -5.6258239  0.1312584   -42.861  < 2e-16 ***
DESTIN_GRID_ID1273 -0.4852406  0.0564755    -8.592  < 2e-16 ***
DESTIN_GRID_ID1277 -0.3195837  0.0561988    -5.687 1.30e-08 ***
DESTIN_GRID_ID1278 -0.6145865  0.0563565   -10.905  < 2e-16 ***
DESTIN_GRID_ID1283  0.8788255  0.0561064    15.664  < 2e-16 ***
DESTIN_GRID_ID1284  0.4361826  0.0561477     7.768 7.94e-15 ***
DESTIN_GRID_ID1285  0.1850767  0.0562037     3.293 0.000991 ***
DESTIN_GRID_ID1286 -0.6940891  0.0569411   -12.190  < 2e-16 ***
DESTIN_GRID_ID1289 -3.0981492  0.0690456   -44.871  < 2e-16 ***
DESTIN_GRID_ID1293 -4.6893617  0.1038025   -45.176  < 2e-16 ***
DESTIN_GRID_ID1294 -0.6425242  0.0567614   -11.320  < 2e-16 ***
DESTIN_GRID_ID1295 -3.1406094  0.0616807   -50.917  < 2e-16 ***
DESTIN_GRID_ID1298 -1.2028516  0.0564791   -21.297  < 2e-16 ***
DESTIN_GRID_ID1299 -1.4008336  0.0568000   -24.663  < 2e-16 ***
DESTIN_GRID_ID1304 -0.0713686  0.0563282    -1.267 0.205150    
DESTIN_GRID_ID1305 -0.0644863  0.0561860    -1.148 0.251081    
DESTIN_GRID_ID1307 -1.3079104  0.0592470   -22.076  < 2e-16 ***
DESTIN_GRID_ID1308 -0.1669355  0.0562911    -2.966 0.003021 ** 
DESTIN_GRID_ID1310 -5.0563677  0.2305194   -21.935  < 2e-16 ***
DESTIN_GRID_ID1316 -2.4150012  0.0582382   -41.468  < 2e-16 ***
DESTIN_GRID_ID1317 -2.6674423  0.0578448   -46.114  < 2e-16 ***
DESTIN_GRID_ID1318 -2.7409692  0.0585896   -46.783  < 2e-16 ***
DESTIN_GRID_ID1319  0.1663581  0.0561330     2.964 0.003040 ** 
DESTIN_GRID_ID1320 -1.7703993  0.0575429   -30.767  < 2e-16 ***
DESTIN_GRID_ID1324 -0.2540998  0.0594494    -4.274 1.92e-05 ***
DESTIN_GRID_ID1325 -2.1732162  0.0584376   -37.189  < 2e-16 ***
DESTIN_GRID_ID1326 -0.5041602  0.0563610    -8.945  < 2e-16 ***
DESTIN_GRID_ID1327 -0.2307335  0.0562796    -4.100 4.14e-05 ***
DESTIN_GRID_ID1328 -0.4262642  0.0564436    -7.552 4.28e-14 ***
DESTIN_GRID_ID1329 -0.6339154  0.0568455   -11.152  < 2e-16 ***
DESTIN_GRID_ID1330  0.7151353  0.0562343    12.717  < 2e-16 ***
DESTIN_GRID_ID1331 -5.8929992  0.2940573   -20.040  < 2e-16 ***
DESTIN_GRID_ID1333 -1.9459809  0.0585170   -33.255  < 2e-16 ***
DESTIN_GRID_ID1334 -1.6063561  0.0577820   -27.800  < 2e-16 ***
DESTIN_GRID_ID1335  0.0863873  0.0562972     1.534 0.124910    
DESTIN_GRID_ID1336 -3.2089495  0.0739635   -43.386  < 2e-16 ***
DESTIN_GRID_ID1337 -3.5694714  0.0658533   -54.203  < 2e-16 ***
DESTIN_GRID_ID1338 -3.8762683  0.0630010   -61.527  < 2e-16 ***
DESTIN_GRID_ID1339 -0.2698623  0.0561597    -4.805 1.55e-06 ***
DESTIN_GRID_ID1340 -1.6412238  0.0569364   -28.826  < 2e-16 ***
DESTIN_GRID_ID1341 -5.3242659  0.1106203   -48.131  < 2e-16 ***
DESTIN_GRID_ID1346 -0.3733345  0.0565706    -6.599 4.13e-11 ***
DESTIN_GRID_ID1347  0.8264902  0.0561302    14.725  < 2e-16 ***
DESTIN_GRID_ID1348 -0.6400844  0.0564836   -11.332  < 2e-16 ***
DESTIN_GRID_ID1349  0.3608112  0.0562810     6.411 1.45e-10 ***
DESTIN_GRID_ID1350 -1.3051446  0.0577490   -22.600  < 2e-16 ***
DESTIN_GRID_ID1353 -0.6562108  0.0564851   -11.617  < 2e-16 ***
DESTIN_GRID_ID1354 -1.3310922  0.0569362   -23.379  < 2e-16 ***
DESTIN_GRID_ID1355 -1.7218429  0.0572762   -30.062  < 2e-16 ***
DESTIN_GRID_ID1357 -2.2254488  0.0593065   -37.525  < 2e-16 ***
DESTIN_GRID_ID1358 -0.1215790  0.0561424    -2.166 0.030346 *  
DESTIN_GRID_ID1359 -1.4462750  0.0563800   -25.652  < 2e-16 ***
DESTIN_GRID_ID1360 -1.5842881  0.0564751   -28.053  < 2e-16 ***
DESTIN_GRID_ID1361 -1.5921459  0.0569358   -27.964  < 2e-16 ***
DESTIN_GRID_ID1362 -2.7565616  0.0627578   -43.924  < 2e-16 ***
DESTIN_GRID_ID1368 -1.3115215  0.0569378   -23.034  < 2e-16 ***
DESTIN_GRID_ID1369 -1.1163741  0.0567611   -19.668  < 2e-16 ***
DESTIN_GRID_ID1370  0.4662678  0.0561269     8.307  < 2e-16 ***
DESTIN_GRID_ID1371 -0.3716123  0.0564942    -6.578 4.77e-11 ***
DESTIN_GRID_ID1372 -0.3792344  0.0564166    -6.722 1.79e-11 ***
DESTIN_GRID_ID1373 -3.3759961  0.0665033   -50.764  < 2e-16 ***
DESTIN_GRID_ID1374 -2.1744159  0.0581932   -37.365  < 2e-16 ***
DESTIN_GRID_ID1375 -0.3492637  0.0565521    -6.176 6.58e-10 ***
DESTIN_GRID_ID1376 -1.9814195  0.0585659   -33.832  < 2e-16 ***
DESTIN_GRID_ID1379 -5.3610490  0.0957314   -56.001  < 2e-16 ***
DESTIN_GRID_ID1380  0.4124218  0.0560723     7.355 1.91e-13 ***
DESTIN_GRID_ID1381  0.6117672  0.0560605    10.913  < 2e-16 ***
DESTIN_GRID_ID1382 -0.1748660  0.0562136    -3.111 0.001866 ** 
DESTIN_GRID_ID1383 -2.8686210  0.0594860   -48.223  < 2e-16 ***
DESTIN_GRID_ID1388 -0.5399947  0.0564544    -9.565  < 2e-16 ***
DESTIN_GRID_ID1389 -0.7831467  0.0565800   -13.841  < 2e-16 ***
DESTIN_GRID_ID1390 -0.4369787  0.0564751    -7.738 1.01e-14 ***
DESTIN_GRID_ID1391  0.2818901  0.0562226     5.014 5.34e-07 ***
DESTIN_GRID_ID1392 -0.2892043  0.0571774    -5.058 4.24e-07 ***
DESTIN_GRID_ID1393 -0.9543594  0.0566339   -16.851  < 2e-16 ***
DESTIN_GRID_ID1394 -0.6306946  0.0563639   -11.190  < 2e-16 ***
DESTIN_GRID_ID1395 -1.0966606  0.0565314   -19.399  < 2e-16 ***
DESTIN_GRID_ID1396 -0.3486738  0.0562614    -6.197 5.74e-10 ***
DESTIN_GRID_ID1397 -1.4559847  0.0566855   -25.685  < 2e-16 ***
DESTIN_GRID_ID1398 -1.6474089  0.0578739   -28.465  < 2e-16 ***
DESTIN_GRID_ID1400 -2.2047153  0.0571070   -38.607  < 2e-16 ***
DESTIN_GRID_ID1401  0.1519269  0.0560722     2.709 0.006739 ** 
DESTIN_GRID_ID1402 -1.1635299  0.0562849   -20.672  < 2e-16 ***
DESTIN_GRID_ID1404 -1.8719506  0.0619283   -30.228  < 2e-16 ***
DESTIN_GRID_ID1410  0.0120130  0.0562376     0.214 0.830850    
DESTIN_GRID_ID1411 -0.4089800  0.0565577    -7.231 4.79e-13 ***
DESTIN_GRID_ID1412  0.1445462  0.0561798     2.573 0.010084 *  
DESTIN_GRID_ID1413 -0.5212855  0.0564085    -9.241  < 2e-16 ***
DESTIN_GRID_ID1414 -0.5686936  0.0563252   -10.097  < 2e-16 ***
DESTIN_GRID_ID1415 -0.2849805  0.0562757    -5.064 4.11e-07 ***
DESTIN_GRID_ID1416 -0.8163139  0.0564687   -14.456  < 2e-16 ***
DESTIN_GRID_ID1417 -0.6441569  0.0562683   -11.448  < 2e-16 ***
DESTIN_GRID_ID1418 -0.7519979  0.0563162   -13.353  < 2e-16 ***
DESTIN_GRID_ID1419 -1.0772327  0.0565372   -19.054  < 2e-16 ***
DESTIN_GRID_ID1422 -1.4993952  0.0563312   -26.617  < 2e-16 ***
DESTIN_GRID_ID1423 -1.0567996  0.0562568   -18.785  < 2e-16 ***
DESTIN_GRID_ID1430  0.2402810  0.0562486     4.272 1.94e-05 ***
DESTIN_GRID_ID1431  0.5128821  0.0561424     9.135  < 2e-16 ***
DESTIN_GRID_ID1432  0.2243472  0.0561564     3.995 6.47e-05 ***
DESTIN_GRID_ID1433 -0.6633415  0.0568912   -11.660  < 2e-16 ***
DESTIN_GRID_ID1434  0.3404229  0.0561568     6.062 1.34e-09 ***
DESTIN_GRID_ID1435 -0.2068336  0.0562007    -3.680 0.000233 ***
DESTIN_GRID_ID1436 -1.5213404  0.0570610   -26.662  < 2e-16 ***
DESTIN_GRID_ID1437 -0.9047478  0.0563982   -16.042  < 2e-16 ***
DESTIN_GRID_ID1438 -0.4008084  0.0561695    -7.136 9.63e-13 ***
DESTIN_GRID_ID1439  0.4142605  0.0561060     7.384 1.54e-13 ***
DESTIN_GRID_ID1440 -0.3627227  0.0564152    -6.430 1.28e-10 ***
DESTIN_GRID_ID1442 -3.4349168  0.0590845   -58.136  < 2e-16 ***
DESTIN_GRID_ID1443 -1.4803489  0.0563257   -26.282  < 2e-16 ***
DESTIN_GRID_ID1444 -0.2613278  0.0562928    -4.642 3.45e-06 ***
DESTIN_GRID_ID1452  0.9372118  0.0560835    16.711  < 2e-16 ***
DESTIN_GRID_ID1453 -0.0392101  0.0562821    -0.697 0.486008    
DESTIN_GRID_ID1454 -1.0523804  0.0574853   -18.307  < 2e-16 ***
DESTIN_GRID_ID1455 -0.4181875  0.0564866    -7.403 1.33e-13 ***
DESTIN_GRID_ID1456 -0.4642474  0.0563364    -8.241  < 2e-16 ***
DESTIN_GRID_ID1457  0.0818535  0.0562064     1.456 0.145309    
DESTIN_GRID_ID1458  1.0116123  0.0560517    18.048  < 2e-16 ***
DESTIN_GRID_ID1459 -1.7722109  0.0567256   -31.242  < 2e-16 ***
DESTIN_GRID_ID1460 -0.5731248  0.0561941   -10.199  < 2e-16 ***
DESTIN_GRID_ID1461 -0.6607273  0.0564388   -11.707  < 2e-16 ***
DESTIN_GRID_ID1464 -1.4871496  0.0564299   -26.354  < 2e-16 ***
DESTIN_GRID_ID1465 -2.3599949  0.0570494   -41.368  < 2e-16 ***
DESTIN_GRID_ID1472 -0.1341163  0.0565342    -2.372 0.017678 *  
DESTIN_GRID_ID1473  0.7366699  0.0561210    13.126  < 2e-16 ***
DESTIN_GRID_ID1474  0.4421143  0.0561082     7.880 3.28e-15 ***
DESTIN_GRID_ID1475  0.0068956  0.0561992     0.123 0.902345    
DESTIN_GRID_ID1476 -0.8317474  0.0565221   -14.715  < 2e-16 ***
DESTIN_GRID_ID1477  0.8981443  0.0560443    16.026  < 2e-16 ***
DESTIN_GRID_ID1478 -0.6799004  0.0562573   -12.086  < 2e-16 ***
DESTIN_GRID_ID1479 -1.4465018  0.0565124   -25.596  < 2e-16 ***
DESTIN_GRID_ID1480  0.7617366  0.0560509    13.590  < 2e-16 ***
DESTIN_GRID_ID1481 -0.9124089  0.0564500   -16.163  < 2e-16 ***
DESTIN_GRID_ID1482  0.3231851  0.0562173     5.749 8.98e-09 ***
DESTIN_GRID_ID1485 -2.4649947  0.0570576   -43.202  < 2e-16 ***
DESTIN_GRID_ID1494  0.5656674  0.0561646    10.072  < 2e-16 ***
DESTIN_GRID_ID1495 -0.4026790  0.0563576    -7.145 8.99e-13 ***
DESTIN_GRID_ID1496  0.4070715  0.0561175     7.254 4.05e-13 ***
DESTIN_GRID_ID1497 -0.8998554  0.0565893   -15.902  < 2e-16 ***
DESTIN_GRID_ID1498 -0.7495995  0.0564193   -13.286  < 2e-16 ***
DESTIN_GRID_ID1499 -0.4803866  0.0561922    -8.549  < 2e-16 ***
DESTIN_GRID_ID1500 -0.7756354  0.0566497   -13.692  < 2e-16 ***
DESTIN_GRID_ID1501 -0.1512214  0.0561353    -2.694 0.007063 ** 
DESTIN_GRID_ID1502 -0.3109246  0.0561737    -5.535 3.11e-08 ***
DESTIN_GRID_ID1506 -3.1709515  0.0885151   -35.824  < 2e-16 ***
DESTIN_GRID_ID1515 -0.3433243  0.0579436    -5.925 3.12e-09 ***
DESTIN_GRID_ID1516  0.4752986  0.0561152     8.470  < 2e-16 ***
DESTIN_GRID_ID1517 -0.3907037  0.0564551    -6.921 4.50e-12 ***
DESTIN_GRID_ID1518 -1.2320906  0.0566958   -21.732  < 2e-16 ***
DESTIN_GRID_ID1519 -1.0815821  0.0566947   -19.077  < 2e-16 ***
DESTIN_GRID_ID1520 -1.2514399  0.0564637   -22.164  < 2e-16 ***
DESTIN_GRID_ID1521 -1.1988883  0.0564997   -21.219  < 2e-16 ***
DESTIN_GRID_ID1522 -0.6073220  0.0562469   -10.797  < 2e-16 ***
DESTIN_GRID_ID1523  0.7713350  0.0561859    13.728  < 2e-16 ***
DESTIN_GRID_ID1524 -1.6558923  0.0574514   -28.823  < 2e-16 ***
DESTIN_GRID_ID1527 -4.1253127  0.0654102   -63.068  < 2e-16 ***
DESTIN_GRID_ID1535 -0.7941945  0.0907170    -8.755  < 2e-16 ***
DESTIN_GRID_ID1536 -1.8448710  0.0634234   -29.088  < 2e-16 ***
DESTIN_GRID_ID1537  0.0323050  0.0563670     0.573 0.566564    
DESTIN_GRID_ID1538 -0.2481437  0.0562784    -4.409 1.04e-05 ***
DESTIN_GRID_ID1539 -0.2643649  0.0562073    -4.703 2.56e-06 ***
DESTIN_GRID_ID1540 -0.9885820  0.0563679   -17.538  < 2e-16 ***
DESTIN_GRID_ID1541 -0.2239269  0.0565697    -3.958 7.54e-05 ***
DESTIN_GRID_ID1542 -0.9796303  0.0567708   -17.256  < 2e-16 ***
DESTIN_GRID_ID1543 -1.4382774  0.0631167   -22.788  < 2e-16 ***
DESTIN_GRID_ID1544 -1.2251270  0.0568350   -21.556  < 2e-16 ***
DESTIN_GRID_ID1547 -1.8100001  0.0577965   -31.317  < 2e-16 ***
DESTIN_GRID_ID1556 -0.8163525  0.0924550    -8.830  < 2e-16 ***
DESTIN_GRID_ID1557 -1.4761208  0.0599492   -24.623  < 2e-16 ***
DESTIN_GRID_ID1558 -0.3636404  0.0576838    -6.304 2.90e-10 ***
DESTIN_GRID_ID1559  0.2742307  0.0561391     4.885 1.04e-06 ***
DESTIN_GRID_ID1560  0.2784745  0.0561241     4.962 6.99e-07 ***
DESTIN_GRID_ID1561 -0.6254181  0.0564411   -11.081  < 2e-16 ***
DESTIN_GRID_ID1562 -2.5702562  0.0584793   -43.952  < 2e-16 ***
DESTIN_GRID_ID1563 -1.7619780  0.0568608   -30.988  < 2e-16 ***
DESTIN_GRID_ID1564 -1.3663327  0.0566412   -24.123  < 2e-16 ***
DESTIN_GRID_ID1565 -0.7743228  0.0563602   -13.739  < 2e-16 ***
DESTIN_GRID_ID1566 -2.5526095  0.0585160   -43.622  < 2e-16 ***
DESTIN_GRID_ID1567 -2.3618751  0.0587018   -40.235  < 2e-16 ***
DESTIN_GRID_ID1568 -1.3141941  0.0570624   -23.031  < 2e-16 ***
DESTIN_GRID_ID1578 -1.3190708  0.1247770   -10.571  < 2e-16 ***
DESTIN_GRID_ID1580 -2.6108091  0.0633109   -41.238  < 2e-16 ***
DESTIN_GRID_ID1581 -0.1850103  0.0562216    -3.291 0.000999 ***
DESTIN_GRID_ID1582  0.0424851  0.0561310     0.757 0.449115    
DESTIN_GRID_ID1583 -1.9273901  0.0602864   -31.971  < 2e-16 ***
DESTIN_GRID_ID1584 -1.6439189  0.0574286   -28.625  < 2e-16 ***
DESTIN_GRID_ID1585 -1.3118057  0.0567277   -23.125  < 2e-16 ***
DESTIN_GRID_ID1586 -0.4969281  0.0562620    -8.832  < 2e-16 ***
DESTIN_GRID_ID1589 -2.7560342  0.0601088   -45.851  < 2e-16 ***
DESTIN_GRID_ID1590 -1.5568843  0.0575746   -27.041  < 2e-16 ***
DESTIN_GRID_ID1600 -0.7503911  0.0583714   -12.855  < 2e-16 ***
DESTIN_GRID_ID1601 -1.1178491  0.0565223   -19.777  < 2e-16 ***
DESTIN_GRID_ID1602 -0.7797042  0.0564628   -13.809  < 2e-16 ***
DESTIN_GRID_ID1603  0.3455114  0.0561370     6.155 7.52e-10 ***
DESTIN_GRID_ID1604 -1.9364574  0.0571300   -33.896  < 2e-16 ***
DESTIN_GRID_ID1605 -0.8954749  0.0563202   -15.900  < 2e-16 ***
DESTIN_GRID_ID1606 -1.7387458  0.0580666   -29.944  < 2e-16 ***
DESTIN_GRID_ID1607 -0.3146466  0.0561603    -5.603 2.11e-08 ***
DESTIN_GRID_ID1608 -1.1639125  0.0564078   -20.634  < 2e-16 ***
DESTIN_GRID_ID1609 -0.3933558  0.0562390    -6.994 2.66e-12 ***
DESTIN_GRID_ID1610 -2.5333015  0.0625813   -40.480  < 2e-16 ***
DESTIN_GRID_ID1622 -0.5042262  0.0574507    -8.777  < 2e-16 ***
DESTIN_GRID_ID1623 -0.0752178  0.0561612    -1.339 0.180466    
DESTIN_GRID_ID1624  0.4856120  0.0561281     8.652  < 2e-16 ***
DESTIN_GRID_ID1625 -0.4353138  0.0563043    -7.731 1.06e-14 ***
DESTIN_GRID_ID1626  1.2366502  0.0560353    22.069  < 2e-16 ***
DESTIN_GRID_ID1627 -1.8594917  0.0567623   -32.759  < 2e-16 ***
DESTIN_GRID_ID1628  0.1682392  0.0561128     2.998 0.002716 ** 
DESTIN_GRID_ID1629 -2.8924365  0.0582083   -49.691  < 2e-16 ***
DESTIN_GRID_ID1630 -2.4213773  0.0572683   -42.281  < 2e-16 ***
DESTIN_GRID_ID1631 -2.6722153  0.0587589   -45.478  < 2e-16 ***
DESTIN_GRID_ID1642 -2.8182690  0.0654096   -43.086  < 2e-16 ***
DESTIN_GRID_ID1643 -0.5641668  0.0563260   -10.016  < 2e-16 ***
DESTIN_GRID_ID1644 -0.5549800  0.0565921    -9.807  < 2e-16 ***
DESTIN_GRID_ID1645 -0.7288619  0.0563907   -12.925  < 2e-16 ***
DESTIN_GRID_ID1646 -0.4377193  0.0565836    -7.736 1.03e-14 ***
DESTIN_GRID_ID1647 -1.2150551  0.0563745   -21.553  < 2e-16 ***
DESTIN_GRID_ID1648 -1.0752328  0.0562973   -19.099  < 2e-16 ***
DESTIN_GRID_ID1649 -0.5287483  0.0561570    -9.416  < 2e-16 ***
DESTIN_GRID_ID1650 -1.4871398  0.0565559   -26.295  < 2e-16 ***
DESTIN_GRID_ID1664 -5.0255557  0.1428154   -35.189  < 2e-16 ***
DESTIN_GRID_ID1665  0.0371359  0.0561477     0.661 0.508358    
DESTIN_GRID_ID1666  0.0796769  0.0561418     1.419 0.155838    
DESTIN_GRID_ID1667 -0.6318587  0.0578889   -10.915  < 2e-16 ***
DESTIN_GRID_ID1668 -1.1994504  0.0564632   -21.243  < 2e-16 ***
DESTIN_GRID_ID1670 -0.7036513  0.0561807   -12.525  < 2e-16 ***
DESTIN_GRID_ID1671 -1.2830001  0.0573073   -22.388  < 2e-16 ***
DESTIN_GRID_ID1672 -2.2143666  0.0574212   -38.564  < 2e-16 ***
DESTIN_GRID_ID1684 -0.2317098  0.0567499    -4.083 4.45e-05 ***
DESTIN_GRID_ID1685 -1.4716794  0.0568459   -25.889  < 2e-16 ***
DESTIN_GRID_ID1686 -0.5813428  0.0563005   -10.326  < 2e-16 ***
DESTIN_GRID_ID1687 -0.3231696  0.0564314    -5.727 1.02e-08 ***
DESTIN_GRID_ID1688 -1.1312113  0.0564621   -20.035  < 2e-16 ***
DESTIN_GRID_ID1689 -1.8906292  0.0569714   -33.186  < 2e-16 ***
DESTIN_GRID_ID1690 -2.5820784  0.0577036   -44.747  < 2e-16 ***
DESTIN_GRID_ID1691 -0.6092330  0.0561720   -10.846  < 2e-16 ***
DESTIN_GRID_ID1692 -2.7004287  0.0580717   -46.502  < 2e-16 ***
DESTIN_GRID_ID1706 -0.7000046  0.0565850   -12.371  < 2e-16 ***
DESTIN_GRID_ID1707 -1.4942535  0.0566929   -26.357  < 2e-16 ***
DESTIN_GRID_ID1708 -0.8983187  0.0564037   -15.927  < 2e-16 ***
DESTIN_GRID_ID1709 -0.1412104  0.0561910    -2.513 0.011969 *  
DESTIN_GRID_ID1710 -0.3192656  0.0562213    -5.679 1.36e-08 ***
DESTIN_GRID_ID1711  0.1406878  0.0561128     2.507 0.012168 *  
DESTIN_GRID_ID1712 -0.7738740  0.0561849   -13.774  < 2e-16 ***
DESTIN_GRID_ID1713 -3.1477964  0.0584364   -53.867  < 2e-16 ***
DESTIN_GRID_ID1714 -1.8226498  0.0567094   -32.140  < 2e-16 ***
DESTIN_GRID_ID1727 -0.2172339  0.0562909    -3.859 0.000114 ***
DESTIN_GRID_ID1728 -0.1968093  0.0561894    -3.503 0.000461 ***
DESTIN_GRID_ID1729 -0.0867458  0.0561659    -1.544 0.122477    
DESTIN_GRID_ID1730 -1.0552543  0.0566161   -18.639  < 2e-16 ***
DESTIN_GRID_ID1731 -0.2473077  0.0561798    -4.402 1.07e-05 ***
DESTIN_GRID_ID1732 -0.9305739  0.0562220   -16.552  < 2e-16 ***
DESTIN_GRID_ID1733 -2.0976627  0.0566967   -36.998  < 2e-16 ***
DESTIN_GRID_ID1734 -0.8859886  0.0562164   -15.760  < 2e-16 ***
DESTIN_GRID_ID1735 -1.7385951  0.0583489   -29.797  < 2e-16 ***
DESTIN_GRID_ID1748 -1.2600845  0.0568283   -22.174  < 2e-16 ***
DESTIN_GRID_ID1749 -0.0639011  0.0561507    -1.138 0.255108    
DESTIN_GRID_ID1750 -0.0802042  0.0561624    -1.428 0.153270    
DESTIN_GRID_ID1751 -0.5259593  0.0563560    -9.333  < 2e-16 ***
DESTIN_GRID_ID1753 -0.3522803  0.0561785    -6.271 3.59e-10 ***
DESTIN_GRID_ID1754  0.4846278  0.0560551     8.646  < 2e-16 ***
DESTIN_GRID_ID1755 -0.3103366  0.0561101    -5.531 3.19e-08 ***
DESTIN_GRID_ID1756 -1.3568084  0.0563020   -24.099  < 2e-16 ***
DESTIN_GRID_ID1757 -3.6737329  0.0606533   -60.569  < 2e-16 ***
DESTIN_GRID_ID1769 -0.5256110  0.0563428    -9.329  < 2e-16 ***
DESTIN_GRID_ID1770 -0.7938658  0.0566404   -14.016  < 2e-16 ***
DESTIN_GRID_ID1771  0.0070639  0.0562401     0.126 0.900047    
DESTIN_GRID_ID1772  1.1115614  0.0564604    19.687  < 2e-16 ***
DESTIN_GRID_ID1774 -1.5082504  0.0564625   -26.712  < 2e-16 ***
DESTIN_GRID_ID1775 -1.9289768  0.0565779   -34.094  < 2e-16 ***
DESTIN_GRID_ID1776  0.2599404  0.0560642     4.636 3.54e-06 ***
DESTIN_GRID_ID1777 -1.8826943  0.0565413   -33.298  < 2e-16 ***
DESTIN_GRID_ID1778 -2.8377050  0.0605474   -46.867  < 2e-16 ***
DESTIN_GRID_ID1790  0.0072355  0.0562594     0.129 0.897666    
DESTIN_GRID_ID1791 -0.6542492  0.0563978   -11.601  < 2e-16 ***
DESTIN_GRID_ID1792 -0.3670789  0.0564863    -6.499 8.11e-11 ***
DESTIN_GRID_ID1793 -0.3762023  0.0563042    -6.682 2.36e-11 ***
DESTIN_GRID_ID1794  1.4224407  0.0564997    25.176  < 2e-16 ***
DESTIN_GRID_ID1795 -2.8326853  0.0599599   -47.243  < 2e-16 ***
DESTIN_GRID_ID1796 -0.8397113  0.0562573   -14.926  < 2e-16 ***
DESTIN_GRID_ID1797 -1.2642623  0.0562844   -22.462  < 2e-16 ***
DESTIN_GRID_ID1798 -1.1878587  0.0562565   -21.115  < 2e-16 ***
DESTIN_GRID_ID1799 -2.1283112  0.0568006   -37.470  < 2e-16 ***
DESTIN_GRID_ID1800 -4.2520656  0.0860342   -49.423  < 2e-16 ***
DESTIN_GRID_ID1811 -1.0307687  0.0566774   -18.187  < 2e-16 ***
DESTIN_GRID_ID1812  0.4061074  0.0560944     7.240 4.50e-13 ***
DESTIN_GRID_ID1813  0.6414231  0.0560821    11.437  < 2e-16 ***
DESTIN_GRID_ID1817 -2.6763341  0.0577251   -46.363  < 2e-16 ***
DESTIN_GRID_ID1818 -1.5757006  0.0563199   -27.978  < 2e-16 ***
DESTIN_GRID_ID1819  0.0959813  0.0560782     1.712 0.086978 .  
DESTIN_GRID_ID1820 -4.5931976  0.0758049   -60.592  < 2e-16 ***
DESTIN_GRID_ID1832  0.1819145  0.0561923     3.237 0.001206 ** 
DESTIN_GRID_ID1833 -1.0710083  0.0565055   -18.954  < 2e-16 ***
DESTIN_GRID_ID1834 -1.0530562  0.0564272   -18.662  < 2e-16 ***
DESTIN_GRID_ID1835 -0.9629529  0.0565330   -17.033  < 2e-16 ***
DESTIN_GRID_ID1837 -1.0999901  0.0577578   -19.045  < 2e-16 ***
DESTIN_GRID_ID1839 -2.7380532  0.0576328   -47.509  < 2e-16 ***
DESTIN_GRID_ID1840  0.1609742  0.0560890     2.870 0.004105 ** 
DESTIN_GRID_ID1841 -3.7373920  0.0627607   -59.550  < 2e-16 ***
DESTIN_GRID_ID1842 -1.2239306  0.0589012   -20.779  < 2e-16 ***
DESTIN_GRID_ID1853 -0.5572207  0.0563105    -9.896  < 2e-16 ***
DESTIN_GRID_ID1854 -0.3941814  0.0562575    -7.007 2.44e-12 ***
DESTIN_GRID_ID1855  0.0031270  0.0561873     0.056 0.955619    
DESTIN_GRID_ID1858  0.0653600  0.0566232     1.154 0.248378    
DESTIN_GRID_ID1860 -2.0995796  0.0602267   -34.861  < 2e-16 ***
DESTIN_GRID_ID1861 -1.3525518  0.0563361   -24.009  < 2e-16 ***
DESTIN_GRID_ID1874 -1.0620442  0.0569911   -18.635  < 2e-16 ***
DESTIN_GRID_ID1875 -2.8331604  0.0608755   -46.540  < 2e-16 ***
DESTIN_GRID_ID1876 -1.5049449  0.0612418   -24.574  < 2e-16 ***
DESTIN_GRID_ID1877 -0.2091313  0.0562248    -3.720 0.000200 ***
DESTIN_GRID_ID1880 -0.8612436  0.0577663   -14.909  < 2e-16 ***
DESTIN_GRID_ID1882 -1.4500952  0.0563903   -25.715  < 2e-16 ***
DESTIN_GRID_ID1883 -2.5748773  0.0600861   -42.853  < 2e-16 ***
DESTIN_GRID_ID1895 -0.0928986  0.0562300    -1.652 0.098510 .  
DESTIN_GRID_ID1896 -1.2265026  0.0565805   -21.677  < 2e-16 ***
DESTIN_GRID_ID1897 -2.0580997  0.0575054   -35.790  < 2e-16 ***
DESTIN_GRID_ID1898 -2.4026504  0.0615818   -39.016  < 2e-16 ***
DESTIN_GRID_ID1901 -1.3869945  0.0596216   -23.263  < 2e-16 ***
DESTIN_GRID_ID1903 -3.0085122  0.0592687   -50.761  < 2e-16 ***
DESTIN_GRID_ID1917 -1.4355071  0.0568542   -25.249  < 2e-16 ***
DESTIN_GRID_ID1918 -0.2158114  0.0564160    -3.825 0.000131 ***
DESTIN_GRID_ID1919 -0.0924248  0.0562028    -1.644 0.100075    
DESTIN_GRID_ID1922 -0.1571717  0.0570016    -2.757 0.005828 ** 
DESTIN_GRID_ID1924 -3.2507968  0.0608919   -53.386  < 2e-16 ***
DESTIN_GRID_ID1937 -0.7480455  0.0565444   -13.229  < 2e-16 ***
DESTIN_GRID_ID1938  0.0050325  0.0561854     0.090 0.928629    
DESTIN_GRID_ID1939 -1.2777576  0.0567782   -22.504  < 2e-16 ***
DESTIN_GRID_ID1942 -1.5110940  0.0591827   -25.533  < 2e-16 ***
DESTIN_GRID_ID1959 -1.2446671  0.0569321   -21.862  < 2e-16 ***
DESTIN_GRID_ID1960  1.1072137  0.0560439    19.756  < 2e-16 ***
DESTIN_GRID_ID1961 -1.4005788  0.0569151   -24.608  < 2e-16 ***
DESTIN_GRID_ID1962 -0.5853418  0.0563422   -10.389  < 2e-16 ***
DESTIN_GRID_ID1964  0.1268603  0.0571511     2.220 0.026437 *  
DESTIN_GRID_ID1979 -0.7155644  0.0566370   -12.634  < 2e-16 ***
DESTIN_GRID_ID1980 -1.0208871  0.0564448   -18.086  < 2e-16 ***
DESTIN_GRID_ID1981 -1.0709052  0.0565011   -18.954  < 2e-16 ***
DESTIN_GRID_ID1982 -0.5799958  0.0565681   -10.253  < 2e-16 ***
DESTIN_GRID_ID1983 -0.7245608  0.0563593   -12.856  < 2e-16 ***
DESTIN_GRID_ID1984 -0.5496155  0.0563431    -9.755  < 2e-16 ***
DESTIN_GRID_ID1985 -0.4269760  0.0563014    -7.584 3.36e-14 ***
DESTIN_GRID_ID2001 -0.7346331  0.0564230   -13.020  < 2e-16 ***
DESTIN_GRID_ID2002 -0.7342744  0.0562694   -13.049  < 2e-16 ***
DESTIN_GRID_ID2003 -0.0732747  0.0561773    -1.304 0.192115    
DESTIN_GRID_ID2004  0.0848614  0.0561685     1.511 0.130830    
DESTIN_GRID_ID2005 -0.9063586  0.0564095   -16.067  < 2e-16 ***
DESTIN_GRID_ID2006  0.0034776  0.0562006     0.062 0.950659    
DESTIN_GRID_ID2007 -3.4292222  0.0650371   -52.727  < 2e-16 ***
DESTIN_GRID_ID2022 -0.2185046  0.0564231    -3.873 0.000108 ***
DESTIN_GRID_ID2023 -0.2161546  0.0562044    -3.846 0.000120 ***
DESTIN_GRID_ID2024  0.1103676  0.0561345     1.966 0.049284 *  
DESTIN_GRID_ID2025 -1.2961431  0.0564540   -22.959  < 2e-16 ***
DESTIN_GRID_ID2026 -1.9602790  0.0574415   -34.127  < 2e-16 ***
DESTIN_GRID_ID2027  0.1040113  0.0561703     1.852 0.064067 .  
DESTIN_GRID_ID2043 -1.6723905  0.0573765   -29.148  < 2e-16 ***
DESTIN_GRID_ID2044 -0.7190239  0.0563398   -12.762  < 2e-16 ***
DESTIN_GRID_ID2045 -1.3242771  0.0573657   -23.085  < 2e-16 ***
DESTIN_GRID_ID2046  0.0307629  0.0561202     0.548 0.583581    
DESTIN_GRID_ID2047 -1.8904990  0.0569321   -33.206  < 2e-16 ***
DESTIN_GRID_ID2048 -1.5992423  0.0567696   -28.171  < 2e-16 ***
DESTIN_GRID_ID2049 -3.3435477  0.0636993   -52.490  < 2e-16 ***
DESTIN_GRID_ID2064 -0.8331992  0.0564961   -14.748  < 2e-16 ***
DESTIN_GRID_ID2065 -0.9603725  0.0564874   -17.002  < 2e-16 ***
DESTIN_GRID_ID2066 -3.3017117  0.0676825   -48.782  < 2e-16 ***
DESTIN_GRID_ID2067  1.5771048  0.0560328    28.146  < 2e-16 ***
DESTIN_GRID_ID2068 -1.9801810  0.0580675   -34.101  < 2e-16 ***
DESTIN_GRID_ID2069 -1.4197393  0.0567743   -25.007  < 2e-16 ***
DESTIN_GRID_ID2085 -0.6410314  0.0565083   -11.344  < 2e-16 ***
DESTIN_GRID_ID2086  0.6718152  0.0561245    11.970  < 2e-16 ***
DESTIN_GRID_ID2087  0.3628593  0.0561419     6.463 1.02e-10 ***
DESTIN_GRID_ID2088 -0.8941529  0.0563189   -15.877  < 2e-16 ***
DESTIN_GRID_ID2089 -1.3685561  0.0567848   -24.101  < 2e-16 ***
DESTIN_GRID_ID2090  1.2715583  0.0560524    22.685  < 2e-16 ***
DESTIN_GRID_ID2091 -4.1213468  0.0905414   -45.519  < 2e-16 ***
DESTIN_GRID_ID2105 -1.5023249  0.0870253   -17.263  < 2e-16 ***
DESTIN_GRID_ID2106 -2.1815299  0.0581565   -37.511  < 2e-16 ***
DESTIN_GRID_ID2107  0.5416533  0.0561264     9.651  < 2e-16 ***
DESTIN_GRID_ID2108  0.1405072  0.0562089     2.500 0.012429 *  
DESTIN_GRID_ID2109 -1.3334358  0.0564647   -23.615  < 2e-16 ***
DESTIN_GRID_ID2110 -1.9963094  0.0573875   -34.786  < 2e-16 ***
DESTIN_GRID_ID2111 -3.1634481  0.0667264   -47.409  < 2e-16 ***
DESTIN_GRID_ID2128 -0.4388790  0.0566518    -7.747 9.41e-15 ***
DESTIN_GRID_ID2129 -0.7709748  0.0570881   -13.505  < 2e-16 ***
DESTIN_GRID_ID2130 -0.7328254  0.0562981   -13.017  < 2e-16 ***
DESTIN_GRID_ID2131 -0.7657533  0.0565329   -13.545  < 2e-16 ***
DESTIN_GRID_ID2132 -1.3443739  0.0566299   -23.740  < 2e-16 ***
DESTIN_GRID_ID2148 -1.3726274  0.0584860   -23.469  < 2e-16 ***
DESTIN_GRID_ID2149 -1.3268754  0.0571867   -23.203  < 2e-16 ***
DESTIN_GRID_ID2150 -1.1302668  0.0567843   -19.905  < 2e-16 ***
DESTIN_GRID_ID2151  0.7018120  0.0560814    12.514  < 2e-16 ***
DESTIN_GRID_ID2152 -0.3507991  0.0562719    -6.234 4.55e-10 ***
DESTIN_GRID_ID2153 -1.6352694  0.0573774   -28.500  < 2e-16 ***
DESTIN_GRID_ID2171 -0.1412275  0.0563115    -2.508 0.012143 *  
DESTIN_GRID_ID2172 -1.7911603  0.0573140   -31.252  < 2e-16 ***
DESTIN_GRID_ID2173 -1.3366971  0.0565396   -23.642  < 2e-16 ***
DESTIN_GRID_ID2174 -0.6372229  0.0564153   -11.295  < 2e-16 ***
DESTIN_GRID_ID2191  0.0551105  0.0566394     0.973 0.330550    
DESTIN_GRID_ID2192 -1.1553484  0.0571755   -20.207  < 2e-16 ***
DESTIN_GRID_ID2193 -0.4637949  0.0563862    -8.225  < 2e-16 ***
DESTIN_GRID_ID2194 -0.5562413  0.0563192    -9.877  < 2e-16 ***
DESTIN_GRID_ID2195 -2.6107074  0.0695566   -37.534  < 2e-16 ***
DESTIN_GRID_ID2212  0.4113642  0.0577887     7.118 1.09e-12 ***
DESTIN_GRID_ID2213 -0.2537901  0.0567465    -4.472 7.74e-06 ***
DESTIN_GRID_ID2214  0.6493101  0.0565131    11.490  < 2e-16 ***
DESTIN_GRID_ID2215 -1.1598872  0.0569502   -20.367  < 2e-16 ***
DESTIN_GRID_ID2216 -0.2142595  0.0563365    -3.803 0.000143 ***
DESTIN_GRID_ID2233  0.5621164  0.0569671     9.867  < 2e-16 ***
DESTIN_GRID_ID2234  1.1730833  0.0566603    20.704  < 2e-16 ***
DESTIN_GRID_ID2235 -0.2123875  0.0568083    -3.739 0.000185 ***
DESTIN_GRID_ID2236 -1.6630181  0.0577448   -28.799  < 2e-16 ***
DESTIN_GRID_ID2237 -0.1358417  0.0572497    -2.373 0.017654 *  
DESTIN_GRID_ID2256  0.0331642  0.0574696     0.577 0.563889    
DESTIN_GRID_ID2257 -2.5294169  0.0633023   -39.958  < 2e-16 ***
DESTIN_GRID_ID2258 -0.3925734  0.0564929    -6.949 3.68e-12 ***
DESTIN_GRID_ID2259  0.6485641  0.0570170    11.375  < 2e-16 ***
DESTIN_GRID_ID2277 -1.1966730  0.0620197   -19.295  < 2e-16 ***
DESTIN_GRID_ID2278 -1.0268498  0.0586766   -17.500  < 2e-16 ***
DESTIN_GRID_ID2279 -0.2014522  0.0565159    -3.565 0.000365 ***
DESTIN_GRID_ID2280 -1.5470825  0.0658158   -23.506  < 2e-16 ***
DESTIN_GRID_ID2297 -1.5065060  0.0597677   -25.206  < 2e-16 ***
DESTIN_GRID_ID2300 -1.1901258  0.0598384   -19.889  < 2e-16 ***
DESTIN_GRID_ID2301 -0.5003776  0.0569120    -8.792  < 2e-16 ***
DESTIN_GRID_ID2318  0.8682501  0.0562910    15.424  < 2e-16 ***
DESTIN_GRID_ID2319  0.7974185  0.0562770    14.170  < 2e-16 ***
DESTIN_GRID_ID2322 -0.2189523  0.0569049    -3.848 0.000119 ***
DESTIN_GRID_ID2337  0.1830786  0.0597480     3.064 0.002183 ** 
DESTIN_GRID_ID2341  1.0193345  0.0562638    18.117  < 2e-16 ***
DESTIN_GRID_ID2343 -1.0815365  0.0577954   -18.713  < 2e-16 ***
DESTIN_GRID_ID2361 -0.2374611  0.0568735    -4.175 2.98e-05 ***
DESTIN_GRID_ID2364 -2.3093525  0.0667963   -34.573  < 2e-16 ***
DESTIN_GRID_ID2379 -1.0374388  0.0630924   -16.443  < 2e-16 ***
DESTIN_GRID_ID2384  0.8574280  0.0564249    15.196  < 2e-16 ***
DESTIN_GRID_ID2405  1.6305276  0.0562193    29.003  < 2e-16 ***
DESTIN_GRID_ID2406 -1.4017293  0.0610451   -22.962  < 2e-16 ***
DESTIN_GRID_ID2426  1.0541858  0.0571471    18.447  < 2e-16 ***
DESTIN_GRID_ID2427  1.3201788  0.0564292    23.395  < 2e-16 ***
DESTIN_GRID_ID2505  0.7744157  0.0596910    12.974  < 2e-16 ***
log(dist)          -1.5811965  0.0003203 -4936.306  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 82068169  on 62185  degrees of freedom
Residual deviance: 20981911  on 60551  degrees of freedom
AIC: 21321285

Number of Fisher Scoring iterations: 10

Model Comparison

In this section we will use the compare_performance() of performance package to compare the root mean square error of the four SIMs. The smaller the values of RMSE , the better the model.

First of all, let us create a list called model_list by using the code chunk below. It contains all our fitted models for all four variations of gravity model.

model_list <- list(unconstrained=uncSIM,
                   originConstrained=orcSIM,
                   destinationConstrained=decSIM,
                   doublyConstrained=dbcSIM)

The output below reveals that doubly constrained SIM is the best model among all the four SIMs because it has the smallest RMSE value of 1039.

compare_performance(model_list,
                    metrics = "RMSE")
# Comparison of Model Performance Indices

Name                   | Model |     RMSE
-----------------------------------------
unconstrained          |   glm | 1396.119
originConstrained      |   glm | 1264.732
destinationConstrained |   glm | 1273.250
doublyConstrained      |   glm | 1038.896

Visualising the fitted values

The function below will save the fitted values as a dataframe and append that column of fitted values to the flow_data1 df. We will append all the fitted values of all the four SIMs.

process_fitted_values <- function(data, fitted_values, new_column_name) {
  df <- as.data.frame(fitted_values) %>%
    round(digits = 0)

  data <- data %>%
    cbind(df) %>%
    rename({{ new_column_name }} := fitted_values)

  return(data)
}
flow_data1 <- process_fitted_values(flow_data1, uncSIM$fitted.values, "uncTRIPS")
flow_data1 <- process_fitted_values(flow_data1, orcSIM$fitted.values, "orcTRIPS")
flow_data1 <- process_fitted_values(flow_data1, decSIM$fitted.values, "decTRIPS")
flow_data1 <- process_fitted_values(flow_data1, dbcSIM$fitted.values, "dbcTRIPS")

Using the ggarragne() function of the ggpurpackage, we will now print the ‘actual vs predicted’ plots side-by-side.

Show the code
unc_p <- ggplot(data = flow_data1,
                aes(x = uncTRIPS,
                    y = TRIPS)) +
  geom_point(size = 0.5) +
  geom_smooth(method = lm)

orc_p <- ggplot(data = flow_data1,
                aes(x = orcTRIPS,
                    y = TRIPS)) +
  geom_point(size = 0.5) +
  geom_smooth(method = lm)

dec_p <- ggplot(data = flow_data1,
                aes(x = decTRIPS,
                    y = TRIPS)) +
  geom_point(size = 0.5) +
  geom_smooth(method = lm)

dbc_p <- ggplot(data = flow_data1,
                aes(x = dbcTRIPS,
                    y = TRIPS)) +
  geom_point(size = 0.5) +
  geom_smooth(method = lm)



ggarrange(unc_p, orc_p, dec_p, dbc_p,
          ncol = 2,
          nrow = 2)

Discussion:

We can see that the points ‘hug’ more closely to the diagonal blue line, which indicates that doubly constrained model is indeed the best model. However, the origin constrained model is more useful in explaining the predictors that affects the flow of bus trips.

We focus our attention on the most influential factor affecting bus trips, that is count of MRT stations with the highest coefficient of 0.49. Given that I have prepared a MRT train flow data (in another exercise out of personal interest), we could incorporate this dataset into this exercise to visualise how commuters from various residential zones would potentially take bus to MRT stations.

flowLine_train_wkdaymorn <- read_rds("data/rds/flowLine_train_wkday_am.rds")

In the map below, only bus trips above 13,000 and MRT trips above 14,800 trips are displayed. The lines represent bus flows while the pink lines represent MRT flows.

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)


filtered_flowLine_bus <- flowLine %>% 
  filter(TRIPS >= 13000)

filtered_flowLine_train <- flowLine_train_wkdaymorn %>%
  filter(TRIPS >= 14800)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine_bus$ORIGIN_GRID_ID, filtered_flowLine_bus$DESTIN_GRID_ID))


tm_shape(mpsz) +
  tm_polygons(alpha=0.7,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3) +
#tm_shape(busstop_hex_geo) +
  #tm_dots(size= 0.005)+
  filtered_flowLine_bus %>% 
  tm_shape() + 
  tm_lines(lwd= 'TRIPS',
           scale= c(4,5,6,7,8,9),
           #scale= c(2,3,4,5,6,7),
           n = 6,
           alpha= 0.3,
           popup.vars=c("# Trips:"="TRIPS",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist'),
           col= 'yellow') +
  
  filtered_flowLine_train %>%
  tm_shape() +
  tm_lines(lwd = 'TRIPS',
           style = 'quantile',
           scale= c(4,5,6,7,8,9),
           #scale=c(2,3,4,5,6,7),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           #scale= c(0.1, 1, 3, 5, 7,10),
           n = 6,
           alpha= 0.3,
           popup.vars=c("# Trips:"="TRIPS",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist'),
           col='pink') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'O-D Flow On Weekday Morning Peak hour' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')
Show the code
tmap_mode('plot')

The map above shows how the passengers commute from their residential areas to MRT stations via the yellow lines (Bus) and then from MRT to their final destinations via the pink lines (Train).

Visualising the residual errors

There are many types of residuals in glm() models like Response, Working, Pearson, Deviance residuals for instance. For simplicity, we will work with Response type, which is derived from ‘actual’ - ‘predicted’ values. In this exercise, I would like to calculate ‘Predicted - Actual’ values instead; so that any over-prediction has positive values and under-predicted values will have a negative residual.

We will use the same function written previously to save the residual values as a dataframe and append that column of residual values to the flow_data1 df. We will append all the residual values of all the four SIMs. (If you are confused, the function name should have been changed to process_residual_values instead)

flow_data1 <- process_fitted_values(flow_data1, -resid(uncSIM, type='response'), "uncRES")
flow_data1 <- process_fitted_values(flow_data1, -resid(orcSIM, type='response'), "orcRES")
flow_data1 <- process_fitted_values(flow_data1, -resid(decSIM, type='response'), "decRES")
flow_data1 <- process_fitted_values(flow_data1, -resid(dbcSIM, type='response'), "dbcRES")

flow_data1 <- process_fitted_values(flow_data1, -resid(uncSIM, type='working'), "uncRES_norm")
flow_data1 <- process_fitted_values(flow_data1, -resid(orcSIM, type='working'), "orcRES_norm")
flow_data1 <- process_fitted_values(flow_data1, -resid(decSIM, type='working'), "decRES_norm")
flow_data1 <- process_fitted_values(flow_data1, -resid(dbcSIM, type='working'), "dbcRES_norm")

Save flow_data1 to local.

write_rds(flow_data1,
          "data/rds/flow_data1.rds")

Convert flow_data1 to a sf Linestring object.

flowLine2 <- od2line(flow=flow_data1,
                    zones= bs_count,
                    zone_code= 'grid_id')

flowLine2 to get a left join with od_data1 in order to append the origin and destination bus stop descriptions for our map’s tooltip function later.

od_data1$ORIGIN_GRID_ID <- as.factor(od_data1$ORIGIN_GRID_ID)
od_data1$DESTIN_GRID_ID <- as.factor(od_data1$DESTIN_GRID_ID)

flowLine2 <- left_join(flowLine2, od_data1,
                      by = c('ORIGIN_GRID_ID' = 'ORIGIN_GRID_ID',
                             'DESTIN_GRID_ID' = 'DESTIN_GRID_ID')) %>% 
  select(-c(MORNING_PEAK))

Save flowLine2 to local

write_rds(flowLine2,
          "data/rds/flowLine2.rds")

Reload flowLine2 into R

flowLine2 <- read_rds('data/rds/flowLine2.rds')

Plot of Residuals against Fitted Values

The charts below allow us to compare the residuals of the four models.

Show the code
unc_rf <- ggplot(data = flow_data1,
                aes(x = uncTRIPS,
                    y = uncRES)) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")


orc_rf <- ggplot(data = flow_data1,
                aes(x = orcTRIPS,
                    y = orcRES)) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")

dec_rf <- ggplot(data = flow_data1,
                aes(x = decTRIPS,
                    y = decRES)) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")

dbc_rf <- ggplot(data = flow_data1,
                aes(x = dbcTRIPS,
                    y = dbcRES)) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")


ggarrange(unc_rf, orc_rf, dec_rf, dbc_rf,
          ncol = 2,
          nrow = 2)

All four models produces under-predicted (below X-axis) and over-predicted above X-axis) values. The unconstrained and origin-constrained model (top left) produces greater magnitude of under-predicted errors . The maximum number of actual trips is 75,364 and yet the unconstrained model produces only a maximum of about 15k trips.

Coordinated Plot: Residuals against Fitted Values

Using the highlight() and subplot() functions of the plotly package, we print the ‘residual vs predicted’ coordinated plots side-by-side. Clicking on any point in one of the chart will highlight the same point in the other three maps.

Since the best model is doubly-constrained, we filter to retain only the data points with over-predicted trips of above 20,000 and under-predicted trips of -20,000.

We will use these coordinated charts to identify flows that are consistently radically over and under predicted.

Map Tips: Hover mouse over any points to reveal tool tip that contains predicted value, residuals (predicted - actual) and origin / destination bus-stop descriptions.

Show the code
library(plotly)

d <- highlight_key(flowLine2 %>% 
                     filter(dbcRES<= -20000 | dbcRES >= 20000))

unc_rf <- ggplot(data = d,
                aes(x = uncTRIPS,
                    y = uncRES,
                    text = paste("Origin: ", ORIGIN_DESC, "<br>Destin: ", DESTIN_DESC))) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")



orc_rf <- ggplot(data = d,
                aes(x = orcTRIPS,
                    y = orcRES,
                    text = paste("Origin: ", ORIGIN_DESC, "<br>Destin: ", DESTIN_DESC))) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")



dec_rf <- ggplot(data = d,
                aes(x = decTRIPS,
                    y = decRES,
                    text = paste("Origin: ", ORIGIN_DESC, "<br>Destin: ", DESTIN_DESC))) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")



dbc_rf <- ggplot(data = d,
                aes(x = dbcTRIPS,
                    y = dbcRES,
                    text = paste("Origin: ", ORIGIN_DESC, "<br>Destin: ", DESTIN_DESC))) +
  geom_point(size = 0.5) +
  geom_hline(yintercept = 0, linetype = "dashed", color = "blue")


subplot(ggplotly(unc_rf),
        ggplotly(orc_rf),
        ggplotly(dec_rf),
        ggplotly(dbc_rf),
        nrows = 2,
        titleY = TRUE, 
        titleX = TRUE, 
        margin = 0.1)

Flows that are consistently under-predicted (in big magnitude) in all four models:

Woodlands checkpoint to Woodlands Bus interchange

Woodlands checkpoint to Kranji MRT station

*It appears that trips related to bus stops near the Woodlands Checkpoint tend to be poorly predicted.

Flows that are consistently over-predicted (in big magnitude) in DEC and DBC models:

Woodlands Train to Woodlands Checkpoint

Other interesting Observations:

Flow from Boon Lay MRT to Pioneer MRT station is badly over-predicted in our best model but predicted rather well in all the other 3 models.

Flows from residential Woodlands/ Punggol to Woodlands Bus interchange. Punggol station are also badly over-predicted in our best model but predicted rather well in all the other 3 models.

Visualising the predicted errors flows

Only flows with under-predicted values of more than 30,000 and over-predicted values of above 10,000 are visualised on the maps.

Shades of Blue lines represents under-predicted flows while shades of red lines represents over-predicted flows.

Map Tips: Clicking on a flow line will reveal tooltip containing predicted trips, residuals, origin/destination bus stop descriptions and the distance of the route.

Note: Static trellis plots are available after all the interactive maps below.

Unconstrained Model

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine2 %>%
  filter(uncRES >=10000 | uncRES <= -30000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

unc <- tm_shape(mpsz) +
  tm_polygons(alpha=0.3,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3) +
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(col = 'uncRES',
           lwd = 5,
           style = 'fixed',
           breaks = c(-68000,-40000,-20000,0,20000,40000, 60000, 76000),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           palette = c("darkblue", "blue", "lightblue", "pink", "red", "darkred"),
           #palette = 'RdYlBu',
           n = 6,
           alpha= 0.9,
           popup.vars=c("# Actual Trips:"="TRIPS",
                        "# Predicted Trips:" = "uncTRIPS",
                        "Error:" = "uncRES",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist')) +
           #col='blue') +
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'Residuals of O-D Flow for Unconstrained SIM' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')
unc
Show the code
tmap_mode('plot')

Origin-Constrained Model

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine2 %>%
  filter(orcRES >=10000 | orcRES <= -30000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

orc<- tm_shape(mpsz) +
  tm_polygons(alpha=0.3,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3) +
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(col = 'orcRES',
           lwd = 5,
           style = 'fixed',
           breaks = c(-68000,-40000,-20000,0,20000,40000, 60000, 76000),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           palette = c("darkblue", "blue", "lightblue", "pink", "red", "darkred"),
           #palette = 'RdYlBu',
           n = 6,
           alpha= 0.9,
           popup.vars=c("# Actual Trips:"="TRIPS",
                        "# Predicted Trips:" = "orcTRIPS",
                        "Error:" = "orcRES",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist')) +
           
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'Residuals of O-D Flow for Origin Constrained SIM',
            main.title.size = 1.0,
            main.title.fontface = 'bold')


orc
Show the code
tmap_mode('plot')

Destination-Constrained Model

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine2 %>%
  filter(decRES >=10000 | decRES <= -30000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

dec <- tm_shape(mpsz) +
  tm_polygons(alpha=0.3,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3,) +
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(col = 'decRES',
           lwd = 5,
           style = 'fixed',
           breaks = c(-68000,-40000,-20000,0,20000,40000, 60000, 76000),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           palette = c("darkblue", "blue", "lightblue", "pink", "red", "darkred"),
           #palette = 'RdYlBu',
           n = 6,
           alpha= 0.9,
           popup.vars=c("# Actual Trips:"="TRIPS",
                        "# Predicted Trips:" = "decTRIPS",
                        "Error:" = "decRES",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist')) +
           
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'Residuals of O-D Flow for Destination Constrained SIM' ,
            main.title.size = 1.0,
            main.title.fontface = 'bold')
dec
Show the code
tmap_mode('plot')

Doubly-Constrained Model

Show the code
tmap_mode('view')
tmap_options(check.and.fix = TRUE)

filtered_flowLine <- flowLine2 %>%
  filter(dbcRES >=10000 | dbcRES <= -30000)

bs_count_filtered <- bs_count %>%
  filter(grid_id %in% c(filtered_flowLine$ORIGIN_GRID_ID, filtered_flowLine$DESTIN_GRID_ID))

dbc<- tm_shape(mpsz) +
  tm_polygons(alpha=0.3,
              col='black') +
tm_shape(bs_count_filtered) +
  tm_polygons(alpha=0.3) +
  filtered_flowLine %>%
  tm_shape() +
  tm_lines(col = 'dbcRES',
           lwd = 5,
           style = 'fixed',
           breaks = c(-68000,-40000,-20000,0,20000,40000, 60000, 76000),
           #scale= c(0.3, 3, 9, 15, 21, 30),
           palette = c("darkblue", "blue", "lightblue", "pink", "red", "darkred"),
           #palette = 'RdYlBu',
           n = 6,
           alpha= 0.9,
           popup.vars=c("# Actual Trips:"="TRIPS",
                        "# Predicted Trips:" = "dbcTRIPS",
                        "Error:" = "dbcRES",
                        "Orig Desc:"="ORIGIN_DESC",
                        "Destin Desc:" = "DESTIN_DESC",
                        "Distance:" = 'dist')) +
           
  tm_view(set.zoom.limits = c(11,17)) +
  tm_layout(main.title = 'Residuals of O-D Flow for Doubly Constrained SIM',
            main.title.size = 1.0,
            main.title.fontface = 'bold')
dbc
Show the code
tmap_mode('plot')

We will plot the residual maps side by side for easy comparison.

Show the code
tmap_mode('plot')

tmap_arrange(unc,
             orc,
             dec,
             dbc,
             asp=2,
             nrow=2,
             ncol=2)

Discussion:

At one glance, the unconstrained model tend to under-predict the number of trips than over-predict. The doubly constrained model tend to over-predict the number of trips than to under-predict.

Across all the four models, common regions with high errors in predictions were Woodlands Check Point area, Yishun/Khatib interchange area, Chua Chu Kang interchange area and Boon Lay interchange area. This is because I have used the absolute residual count and these regions have the higher flows in our study area.

Removing the Outliers

In our best performing model (Doubly-Constrained), the flow trips that had the highest error in prediction were associated with areas near the Woodlands Checkpoint.

What if we remove the observations that are close to the Woodlands Checkpoint? Will our model improve?

Two observations to remove:

  1. Origin_grid_id: 1004 to destin_grid_id: 1108
  2. Origin_grid_id: 983 to destin_grid_id: 939
dbcSIM_remove <- glm(formula = TRIPS ~ 
                ORIGIN_GRID_ID + 
                DESTIN_GRID_ID + 
                log(dist),
              family = poisson(link = "log"),
              data = flow_data1 %>% 
                filter(!(ORIGIN_GRID_ID == 1004 & DESTIN_GRID_ID == 1108) &
         !(ORIGIN_GRID_ID == 983 & DESTIN_GRID_ID == 939)),
              na.action = na.exclude)

Write dbcSM_remove to local

write_rds(dbcSIM_remove,
          "data/rds/dbcSIM_remove.rds")

Read dbcSIM_remove back to R

dbcSIM_remove <- read_rds('data/rds/dbcSIM_remove.rds')

As compared to the original model, removing the outliers improved the model R-squared value from 0.58 to 0.60.

CalcRSquared(dbcSIM_remove$data$TRIPS, dbcSIM_remove$fitted.values)
[1] 0.5981428

The coefficient of the distance variable is -1.58.

dbcSIM_remove$coefficients[1635]
log(dist) 
-1.579458 
summary(dbcSIM_remove)

Call:
glm(formula = TRIPS ~ ORIGIN_GRID_ID + DESTIN_GRID_ID + log(dist), 
    family = poisson(link = "log"), data = flow_data1 %>% filter(!(ORIGIN_GRID_ID == 
        1004 & DESTIN_GRID_ID == 1108) & !(ORIGIN_GRID_ID == 
        983 & DESTIN_GRID_ID == 939)), na.action = na.exclude)

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-180.77    -9.00    -3.11     2.54   374.93  

Coefficients:
                     Estimate Std. Error   z value Pr(>|z|)    
(Intercept)        14.4251658  0.1405156   102.659  < 2e-16 ***
ORIGIN_GRID_ID44    1.6986988  0.2004098     8.476  < 2e-16 ***
ORIGIN_GRID_ID46   -0.1442293  0.1618090    -0.891 0.372739    
ORIGIN_GRID_ID66    1.4025089  0.1872577     7.490 6.90e-14 ***
ORIGIN_GRID_ID67    1.7880765  0.1317442    13.572  < 2e-16 ***
ORIGIN_GRID_ID68   -0.6411534  0.1732963    -3.700 0.000216 ***
ORIGIN_GRID_ID86   -0.4713554  0.1543779    -3.053 0.002264 ** 
ORIGIN_GRID_ID87    3.3306401  0.1505678    22.121  < 2e-16 ***
ORIGIN_GRID_ID88    2.3756452  0.1304684    18.209  < 2e-16 ***
ORIGIN_GRID_ID89    0.2047265  0.1389216     1.474 0.140567    
ORIGIN_GRID_ID90    0.9039738  0.1837005     4.921 8.61e-07 ***
ORIGIN_GRID_ID109   0.3378554  0.1681025     2.010 0.044451 *  
ORIGIN_GRID_ID110   0.5216496  0.1528211     3.413 0.000641 ***
ORIGIN_GRID_ID111   3.9103705  0.1300151    30.076  < 2e-16 ***
ORIGIN_GRID_ID112   0.1021999  0.1479706     0.691 0.489769    
ORIGIN_GRID_ID128   3.0503626  0.1328034    22.969  < 2e-16 ***
ORIGIN_GRID_ID129   0.3414217  0.2293965     1.488 0.136659    
ORIGIN_GRID_ID130   1.2647621  0.1413068     8.950  < 2e-16 ***
ORIGIN_GRID_ID131   1.8834748  0.1337107    14.086  < 2e-16 ***
ORIGIN_GRID_ID132   0.1698830  0.1412520     1.203 0.229094    
ORIGIN_GRID_ID133   1.0756447  0.1360546     7.906 2.66e-15 ***
ORIGIN_GRID_ID134   4.1132924  0.1328080    30.972  < 2e-16 ***
ORIGIN_GRID_ID150   4.1673181  0.1311314    31.780  < 2e-16 ***
ORIGIN_GRID_ID151   0.4327551  0.1535109     2.819 0.004817 ** 
ORIGIN_GRID_ID152   0.2182293  0.1561763     1.397 0.162315    
ORIGIN_GRID_ID153   1.4492868  0.1371591    10.566  < 2e-16 ***
ORIGIN_GRID_ID154   4.1265936  0.1295060    31.864  < 2e-16 ***
ORIGIN_GRID_ID155   0.9698705  0.1351536     7.176 7.17e-13 ***
ORIGIN_GRID_ID156   1.6871586  0.1406692    11.994  < 2e-16 ***
ORIGIN_GRID_ID172   2.2997692  0.1458878    15.764  < 2e-16 ***
ORIGIN_GRID_ID174   1.1000246  0.1381853     7.961 1.71e-15 ***
ORIGIN_GRID_ID175   3.8056106  0.1297994    29.319  < 2e-16 ***
ORIGIN_GRID_ID176   4.8213700  0.1293819    37.265  < 2e-16 ***
ORIGIN_GRID_ID195  -0.0904868  0.1564824    -0.578 0.563091    
ORIGIN_GRID_ID196   0.8990375  0.1363229     6.595 4.26e-11 ***
ORIGIN_GRID_ID197   0.0711387  0.1861029     0.382 0.702273    
ORIGIN_GRID_ID215   1.4430473  0.1628811     8.860  < 2e-16 ***
ORIGIN_GRID_ID216   5.2356643  0.1295087    40.427  < 2e-16 ***
ORIGIN_GRID_ID217   2.3633744  0.1312675    18.004  < 2e-16 ***
ORIGIN_GRID_ID237   0.4261246  0.3281506     1.299 0.194094    
ORIGIN_GRID_ID238   0.8324418  0.1501981     5.542 2.99e-08 ***
ORIGIN_GRID_ID239   1.0969058  0.1939366     5.656 1.55e-08 ***
ORIGIN_GRID_ID257   0.2012811  0.1438792     1.399 0.161825    
ORIGIN_GRID_ID258   2.2450326  0.1326353    16.926  < 2e-16 ***
ORIGIN_GRID_ID259   1.4758204  0.1358361    10.865  < 2e-16 ***
ORIGIN_GRID_ID278   1.6210097  0.1350840    12.000  < 2e-16 ***
ORIGIN_GRID_ID279   0.4166645  0.1383879     3.011 0.002605 ** 
ORIGIN_GRID_ID280   0.9405313  0.1389346     6.770 1.29e-11 ***
ORIGIN_GRID_ID298  -3.1159852  0.3996727    -7.796 6.37e-15 ***
ORIGIN_GRID_ID299   0.1385991  0.1426811     0.971 0.331354    
ORIGIN_GRID_ID300   4.1719501  0.1297056    32.165  < 2e-16 ***
ORIGIN_GRID_ID320  -0.2670960  0.1396126    -1.913 0.055732 .  
ORIGIN_GRID_ID321   0.8181702  0.1524829     5.366 8.07e-08 ***
ORIGIN_GRID_ID322   2.5725361  0.1357627    18.949  < 2e-16 ***
ORIGIN_GRID_ID340   1.9799854  0.1332403    14.860  < 2e-16 ***
ORIGIN_GRID_ID341  -0.1193750  0.1389837    -0.859 0.390388    
ORIGIN_GRID_ID342   1.9964910  0.1363750    14.640  < 2e-16 ***
ORIGIN_GRID_ID363   1.5833417  0.1356031    11.676  < 2e-16 ***
ORIGIN_GRID_ID364   2.1491387  0.1323579    16.237  < 2e-16 ***
ORIGIN_GRID_ID383   1.0429545  0.1338248     7.793 6.52e-15 ***
ORIGIN_GRID_ID384   0.5067183  0.1397336     3.626 0.000287 ***
ORIGIN_GRID_ID385   0.8800834  0.1471725     5.980 2.23e-09 ***
ORIGIN_GRID_ID404   2.1417473  0.1331653    16.083  < 2e-16 ***
ORIGIN_GRID_ID405   0.5403354  0.1412046     3.827 0.000130 ***
ORIGIN_GRID_ID406   5.9802579  0.1294161    46.210  < 2e-16 ***
ORIGIN_GRID_ID407   1.9528361  0.1386937    14.080  < 2e-16 ***
ORIGIN_GRID_ID408   2.6941937  0.1319460    20.419  < 2e-16 ***
ORIGIN_GRID_ID425  -0.6418084  0.1660306    -3.866 0.000111 ***
ORIGIN_GRID_ID426   1.4832282  0.1331422    11.140  < 2e-16 ***
ORIGIN_GRID_ID427   0.6511287  0.1382550     4.710 2.48e-06 ***
ORIGIN_GRID_ID428   0.1174903  0.1799533     0.653 0.513825    
ORIGIN_GRID_ID429   2.3263951  0.1312754    17.721  < 2e-16 ***
ORIGIN_GRID_ID446   0.9424908  0.1480959     6.364 1.96e-10 ***
ORIGIN_GRID_ID447   0.9046754  0.1358575     6.659 2.76e-11 ***
ORIGIN_GRID_ID448   1.9528465  0.1324610    14.743  < 2e-16 ***
ORIGIN_GRID_ID449   5.1671155  0.1295949    39.871  < 2e-16 ***
ORIGIN_GRID_ID450   2.1321843  0.1311121    16.262  < 2e-16 ***
ORIGIN_GRID_ID468   1.8025298  0.1335836    13.494  < 2e-16 ***
ORIGIN_GRID_ID469   3.1266737  0.1303617    23.985  < 2e-16 ***
ORIGIN_GRID_ID470   5.2174591  0.1295292    40.280  < 2e-16 ***
ORIGIN_GRID_ID471   2.9984237  0.1306755    22.946  < 2e-16 ***
ORIGIN_GRID_ID488   0.6424425  0.1425042     4.508 6.54e-06 ***
ORIGIN_GRID_ID489  -1.0720629  0.2130419    -5.032 4.85e-07 ***
ORIGIN_GRID_ID490   3.6182230  0.1300351    27.825  < 2e-16 ***
ORIGIN_GRID_ID491   4.1247608  0.1296784    31.808  < 2e-16 ***
ORIGIN_GRID_ID493  -1.6384609  0.2537571    -6.457 1.07e-10 ***
ORIGIN_GRID_ID494   0.7344970  0.1520275     4.831 1.36e-06 ***
ORIGIN_GRID_ID509   0.6639227  0.1352639     4.908 9.18e-07 ***
ORIGIN_GRID_ID510   1.4510991  0.1322760    10.970  < 2e-16 ***
ORIGIN_GRID_ID511   3.0278700  0.1299397    23.302  < 2e-16 ***
ORIGIN_GRID_ID512   5.7469058  0.1294691    44.388  < 2e-16 ***
ORIGIN_GRID_ID513   2.1551729  0.1323928    16.279  < 2e-16 ***
ORIGIN_GRID_ID514   1.3971116  0.1409982     9.909  < 2e-16 ***
ORIGIN_GRID_ID515  -0.0013567  0.2585937    -0.005 0.995814    
ORIGIN_GRID_ID530  -0.2711223  0.1580632    -1.715 0.086294 .  
ORIGIN_GRID_ID531   1.9404692  0.1311408    14.797  < 2e-16 ***
ORIGIN_GRID_ID532   1.3466659  0.1322585    10.182  < 2e-16 ***
ORIGIN_GRID_ID533   5.4161355  0.1294700    41.833  < 2e-16 ***
ORIGIN_GRID_ID534   6.0350381  0.1294831    46.609  < 2e-16 ***
ORIGIN_GRID_ID536   2.7604811  0.1323586    20.856  < 2e-16 ***
ORIGIN_GRID_ID537   0.4061463  0.2322653     1.749 0.080355 .  
ORIGIN_GRID_ID538   0.3226096  0.2888628     1.117 0.264069    
ORIGIN_GRID_ID539   0.1595660  1.0089937     0.158 0.874344    
ORIGIN_GRID_ID551  -0.2266371  0.1415083    -1.602 0.109248    
ORIGIN_GRID_ID552   2.2432632  0.1349663    16.621  < 2e-16 ***
ORIGIN_GRID_ID553   1.8081182  0.1307954    13.824  < 2e-16 ***
ORIGIN_GRID_ID554   5.3528032  0.1294776    41.342  < 2e-16 ***
ORIGIN_GRID_ID555   4.6147239  0.1296765    35.586  < 2e-16 ***
ORIGIN_GRID_ID559   1.1565126  0.1680155     6.883 5.85e-12 ***
ORIGIN_GRID_ID560   3.2630902  0.1414515    23.069  < 2e-16 ***
ORIGIN_GRID_ID561  -1.3475187  1.0097278    -1.335 0.182028    
ORIGIN_GRID_ID572  -2.5412843  0.5919805    -4.293 1.76e-05 ***
ORIGIN_GRID_ID573   0.1257970  0.1380119     0.911 0.362035    
ORIGIN_GRID_ID574   1.7497630  0.1349795    12.963  < 2e-16 ***
ORIGIN_GRID_ID575   6.3744081  0.1294479    49.243  < 2e-16 ***
ORIGIN_GRID_ID576   4.9700282  0.1295353    38.368  < 2e-16 ***
ORIGIN_GRID_ID578   0.3668415  0.1662811     2.206 0.027373 *  
ORIGIN_GRID_ID582   0.6232946  0.1702474     3.661 0.000251 ***
ORIGIN_GRID_ID583   1.5639487  0.5918994     2.642 0.008236 ** 
ORIGIN_GRID_ID584   3.9563636  0.1421212    27.838  < 2e-16 ***
ORIGIN_GRID_ID593   1.3207275  0.1396698     9.456  < 2e-16 ***
ORIGIN_GRID_ID594   1.3966248  0.1321928    10.565  < 2e-16 ***
ORIGIN_GRID_ID595   1.6601522  0.1309842    12.674  < 2e-16 ***
ORIGIN_GRID_ID596   4.7108655  0.1295076    36.375  < 2e-16 ***
ORIGIN_GRID_ID597   1.9941325  0.1432509    13.921  < 2e-16 ***
ORIGIN_GRID_ID603   1.1699427  0.1754515     6.668 2.59e-11 ***
ORIGIN_GRID_ID604   1.6111956  0.2319507     6.946 3.75e-12 ***
ORIGIN_GRID_ID615  -0.0681062  0.1391052    -0.490 0.624415    
ORIGIN_GRID_ID616   1.1194802  0.1336039     8.379  < 2e-16 ***
ORIGIN_GRID_ID617   2.0178856  0.1308794    15.418  < 2e-16 ***
ORIGIN_GRID_ID618   5.3976548  0.1294908    41.684  < 2e-16 ***
ORIGIN_GRID_ID620   2.7526957  0.1334254    20.631  < 2e-16 ***
ORIGIN_GRID_ID637   0.8296222  0.1372290     6.046 1.49e-09 ***
ORIGIN_GRID_ID638   4.8129105  0.1295069    37.163  < 2e-16 ***
ORIGIN_GRID_ID657   2.6557255  0.1306377    20.329  < 2e-16 ***
ORIGIN_GRID_ID658   4.1579815  0.1296088    32.081  < 2e-16 ***
ORIGIN_GRID_ID659   4.3727093  0.1295592    33.751  < 2e-16 ***
ORIGIN_GRID_ID660   5.4496107  0.1294834    42.087  < 2e-16 ***
ORIGIN_GRID_ID662   5.5779508  0.1296664    43.018  < 2e-16 ***
ORIGIN_GRID_ID677   2.5501490  0.1316660    19.368  < 2e-16 ***
ORIGIN_GRID_ID678   0.3522716  0.1388049     2.538 0.011152 *  
ORIGIN_GRID_ID679   5.3757896  0.1294914    41.515  < 2e-16 ***
ORIGIN_GRID_ID680   5.6350416  0.1294903    43.517  < 2e-16 ***
ORIGIN_GRID_ID681   4.3769019  0.1297418    33.735  < 2e-16 ***
ORIGIN_GRID_ID699   2.0653818  0.1316442    15.689  < 2e-16 ***
ORIGIN_GRID_ID700   4.3631497  0.1295945    33.668  < 2e-16 ***
ORIGIN_GRID_ID701   4.2470202  0.1295974    32.771  < 2e-16 ***
ORIGIN_GRID_ID702   5.2963693  0.1294892    40.902  < 2e-16 ***
ORIGIN_GRID_ID704   2.4068882  0.1339689    17.966  < 2e-16 ***
ORIGIN_GRID_ID722   2.0194257  0.1310842    15.406  < 2e-16 ***
ORIGIN_GRID_ID725   1.9676040  0.1360880    14.458  < 2e-16 ***
ORIGIN_GRID_ID741   2.6279618  0.1305727    20.126  < 2e-16 ***
ORIGIN_GRID_ID743   2.8050923  0.1301462    21.553  < 2e-16 ***
ORIGIN_GRID_ID744   4.8341525  0.1295289    37.321  < 2e-16 ***
ORIGIN_GRID_ID761   2.0660476  0.1330286    15.531  < 2e-16 ***
ORIGIN_GRID_ID762   4.1330832  0.1296645    31.875  < 2e-16 ***
ORIGIN_GRID_ID763   1.2868812  0.1329841     9.677  < 2e-16 ***
ORIGIN_GRID_ID764   5.3531937  0.1294888    41.341  < 2e-16 ***
ORIGIN_GRID_ID765   4.6323360  0.1297350    35.706  < 2e-16 ***
ORIGIN_GRID_ID767   6.4740275  0.1295035    49.991  < 2e-16 ***
ORIGIN_GRID_ID772   1.2307451  0.1532737     8.030 9.77e-16 ***
ORIGIN_GRID_ID784   1.2152606  0.1325924     9.165  < 2e-16 ***
ORIGIN_GRID_ID785   4.5169907  0.1295193    34.875  < 2e-16 ***
ORIGIN_GRID_ID786   4.2259831  0.1295980    32.608  < 2e-16 ***
ORIGIN_GRID_ID787   4.8075423  0.1296689    37.076  < 2e-16 ***
ORIGIN_GRID_ID788   5.6871377  0.1295691    43.893  < 2e-16 ***
ORIGIN_GRID_ID789   4.1289701  0.1299360    31.777  < 2e-16 ***
ORIGIN_GRID_ID803   0.1040210  0.1447637     0.719 0.472414    
ORIGIN_GRID_ID804   5.1541795  0.1295150    39.796  < 2e-16 ***
ORIGIN_GRID_ID805   5.1684091  0.1294886    39.914  < 2e-16 ***
ORIGIN_GRID_ID806   4.8467057  0.1295183    37.421  < 2e-16 ***
ORIGIN_GRID_ID807   5.8919616  0.1295210    45.490  < 2e-16 ***
ORIGIN_GRID_ID808   4.1105652  0.1299600    31.629  < 2e-16 ***
ORIGIN_GRID_ID809   5.8597364  0.1294948    45.251  < 2e-16 ***
ORIGIN_GRID_ID810   5.1041569  0.1295952    39.385  < 2e-16 ***
ORIGIN_GRID_ID814   3.1615912  0.1325776    23.847  < 2e-16 ***
ORIGIN_GRID_ID819   5.0778251  0.1310004    38.762  < 2e-16 ***
ORIGIN_GRID_ID824   1.2128965  0.1361808     8.907  < 2e-16 ***
ORIGIN_GRID_ID826   2.7923123  0.1298909    21.497  < 2e-16 ***
ORIGIN_GRID_ID827   4.7931678  0.1295064    37.011  < 2e-16 ***
ORIGIN_GRID_ID828   5.2041232  0.1294989    40.187  < 2e-16 ***
ORIGIN_GRID_ID829   5.2586828  0.1295313    40.598  < 2e-16 ***
ORIGIN_GRID_ID830   5.5479552  0.1295551    42.823  < 2e-16 ***
ORIGIN_GRID_ID831   6.3992759  0.1294790    49.423  < 2e-16 ***
ORIGIN_GRID_ID832   5.4813948  0.1296409    42.281  < 2e-16 ***
ORIGIN_GRID_ID835   3.1282524  0.1329243    23.534  < 2e-16 ***
ORIGIN_GRID_ID844   0.2991872  0.1512352     1.978 0.047896 *  
ORIGIN_GRID_ID846   4.2038603  0.1295650    32.446  < 2e-16 ***
ORIGIN_GRID_ID847   3.2122313  0.1298650    24.735  < 2e-16 ***
ORIGIN_GRID_ID848   4.5721929  0.1295400    35.296  < 2e-16 ***
ORIGIN_GRID_ID849   3.8256935  0.1296987    29.497  < 2e-16 ***
ORIGIN_GRID_ID850   4.6766139  0.1295776    36.091  < 2e-16 ***
ORIGIN_GRID_ID851   5.2812200  0.1295168    40.776  < 2e-16 ***
ORIGIN_GRID_ID852   4.8204659  0.1296170    37.190  < 2e-16 ***
ORIGIN_GRID_ID853   6.8096303  0.1295265    52.573  < 2e-16 ***
ORIGIN_GRID_ID854   3.4076881  0.1321773    25.781  < 2e-16 ***
ORIGIN_GRID_ID855   1.9770372  0.1373321    14.396  < 2e-16 ***
ORIGIN_GRID_ID856   3.5440560  0.1309401    27.066  < 2e-16 ***
ORIGIN_GRID_ID866   2.1329959  0.1326311    16.082  < 2e-16 ***
ORIGIN_GRID_ID867   3.0464895  0.1300555    23.425  < 2e-16 ***
ORIGIN_GRID_ID868   2.0888853  0.1312924    15.910  < 2e-16 ***
ORIGIN_GRID_ID869   4.9901894  0.1295909    38.507  < 2e-16 ***
ORIGIN_GRID_ID870   5.7473571  0.1294771    44.389  < 2e-16 ***
ORIGIN_GRID_ID871   5.5538695  0.1295984    42.854  < 2e-16 ***
ORIGIN_GRID_ID872   3.4684285  0.1299884    26.683  < 2e-16 ***
ORIGIN_GRID_ID873   3.6860083  0.1299035    28.375  < 2e-16 ***
ORIGIN_GRID_ID874   4.0432441  0.1297215    31.169  < 2e-16 ***
ORIGIN_GRID_ID875   1.0468831  0.1470988     7.117 1.10e-12 ***
ORIGIN_GRID_ID876   2.3600577  0.1333019    17.705  < 2e-16 ***
ORIGIN_GRID_ID877   1.8428688  0.1364803    13.503  < 2e-16 ***
ORIGIN_GRID_ID887   2.4407408  0.1302368    18.741  < 2e-16 ***
ORIGIN_GRID_ID888   3.9022078  0.1296645    30.095  < 2e-16 ***
ORIGIN_GRID_ID889   0.8208570  0.1340842     6.122 9.24e-10 ***
ORIGIN_GRID_ID890   5.1919487  0.1294982    40.093  < 2e-16 ***
ORIGIN_GRID_ID891   3.9215880  0.1299870    30.169  < 2e-16 ***
ORIGIN_GRID_ID893   5.3390335  0.1295095    41.225  < 2e-16 ***
ORIGIN_GRID_ID894   3.5891672  0.1299016    27.630  < 2e-16 ***
ORIGIN_GRID_ID895   3.0959215  0.1304192    23.738  < 2e-16 ***
ORIGIN_GRID_ID896   1.9338332  0.1331830    14.520  < 2e-16 ***
ORIGIN_GRID_ID897   0.4833247  0.1496375     3.230 0.001238 ** 
ORIGIN_GRID_ID898   2.6137466  0.1337339    19.544  < 2e-16 ***
ORIGIN_GRID_ID908   3.9006361  0.1300968    29.983  < 2e-16 ***
ORIGIN_GRID_ID909   3.9098447  0.1295880    30.171  < 2e-16 ***
ORIGIN_GRID_ID910   2.0504914  0.1305978    15.701  < 2e-16 ***
ORIGIN_GRID_ID911   3.3409428  0.1297925    25.741  < 2e-16 ***
ORIGIN_GRID_ID912   4.9174620  0.1295175    37.968  < 2e-16 ***
ORIGIN_GRID_ID915   5.2347442  0.1295215    40.416  < 2e-16 ***
ORIGIN_GRID_ID917   4.8541034  0.1296684    37.435  < 2e-16 ***
ORIGIN_GRID_ID918   1.3918892  0.1360563    10.230  < 2e-16 ***
ORIGIN_GRID_ID919   4.5903239  0.1298055    35.363  < 2e-16 ***
ORIGIN_GRID_ID928   2.7474936  0.1303422    21.079  < 2e-16 ***
ORIGIN_GRID_ID929   4.3414508  0.1295290    33.517  < 2e-16 ***
ORIGIN_GRID_ID930   5.1860408  0.1294802    40.053  < 2e-16 ***
ORIGIN_GRID_ID931   2.1489697  0.1307355    16.438  < 2e-16 ***
ORIGIN_GRID_ID932   2.6728727  0.1307589    20.441  < 2e-16 ***
ORIGIN_GRID_ID933   4.7817745  0.1295784    36.903  < 2e-16 ***
ORIGIN_GRID_ID934   2.2432938  0.1310276    17.121  < 2e-16 ***
ORIGIN_GRID_ID935   6.1038681  0.1294782    47.142  < 2e-16 ***
ORIGIN_GRID_ID938  -1.8803204  0.3061097    -6.143 8.12e-10 ***
ORIGIN_GRID_ID939   5.9608124  0.1295217    46.022  < 2e-16 ***
ORIGIN_GRID_ID940   0.1347099  0.1603278     0.840 0.400787    
ORIGIN_GRID_ID949   2.6020130  0.1302897    19.971  < 2e-16 ***
ORIGIN_GRID_ID950   4.7595971  0.1295496    36.740  < 2e-16 ***
ORIGIN_GRID_ID951   5.6181849  0.1294714    43.393  < 2e-16 ***
ORIGIN_GRID_ID952   2.3302242  0.1313903    17.735  < 2e-16 ***
ORIGIN_GRID_ID953   3.4985428  0.1298533    26.942  < 2e-16 ***
ORIGIN_GRID_ID954   2.3888285  0.1307463    18.271  < 2e-16 ***
ORIGIN_GRID_ID955   4.6514934  0.1295793    35.897  < 2e-16 ***
ORIGIN_GRID_ID956   3.0577070  0.1300285    23.516  < 2e-16 ***
ORIGIN_GRID_ID957   5.2360151  0.1295854    40.406  < 2e-16 ***
ORIGIN_GRID_ID959   1.2004316  0.1401430     8.566  < 2e-16 ***
ORIGIN_GRID_ID961   1.3723500  0.1343157    10.217  < 2e-16 ***
ORIGIN_GRID_ID962   6.2932861  0.1296601    48.537  < 2e-16 ***
ORIGIN_GRID_ID970   3.1658454  0.1297318    24.403  < 2e-16 ***
ORIGIN_GRID_ID971   4.4975937  0.1295045    34.729  < 2e-16 ***
ORIGIN_GRID_ID972   4.4398815  0.1295337    34.276  < 2e-16 ***
ORIGIN_GRID_ID974   4.0405654  0.1296797    31.158  < 2e-16 ***
ORIGIN_GRID_ID975   3.6991397  0.1297856    28.502  < 2e-16 ***
ORIGIN_GRID_ID976   2.4419048  0.1306195    18.695  < 2e-16 ***
ORIGIN_GRID_ID977   5.6177291  0.1294993    43.380  < 2e-16 ***
ORIGIN_GRID_ID978   5.5207145  0.1296465    42.583  < 2e-16 ***
ORIGIN_GRID_ID982   2.3746527  0.1305508    18.189  < 2e-16 ***
ORIGIN_GRID_ID983   5.9982169  0.1296413    46.268  < 2e-16 ***
ORIGIN_GRID_ID984   7.4839954  0.1296185    57.739  < 2e-16 ***
ORIGIN_GRID_ID991   3.1460784  0.1298188    24.234  < 2e-16 ***
ORIGIN_GRID_ID992   3.5161231  0.1296479    27.121  < 2e-16 ***
ORIGIN_GRID_ID993   3.2012980  0.1296974    24.683  < 2e-16 ***
ORIGIN_GRID_ID994   2.7522790  0.1299916    21.173  < 2e-16 ***
ORIGIN_GRID_ID995   4.2373831  0.1295792    32.701  < 2e-16 ***
ORIGIN_GRID_ID996   3.9327477  0.1297030    30.321  < 2e-16 ***
ORIGIN_GRID_ID997   2.6883270  0.1328873    20.230  < 2e-16 ***
ORIGIN_GRID_ID998   5.7266967  0.1295043    44.220  < 2e-16 ***
ORIGIN_GRID_ID999   5.7029596  0.1295823    44.010  < 2e-16 ***
ORIGIN_GRID_ID1001  2.6003084  0.1320336    19.694  < 2e-16 ***
ORIGIN_GRID_ID1003  5.2863424  0.1295285    40.812  < 2e-16 ***
ORIGIN_GRID_ID1004  5.3405482  0.1295329    41.229  < 2e-16 ***
ORIGIN_GRID_ID1011  1.3647604  0.1339480    10.189  < 2e-16 ***
ORIGIN_GRID_ID1012  0.9456500  0.1360398     6.951 3.62e-12 ***
ORIGIN_GRID_ID1013  1.8362300  0.1308337    14.035  < 2e-16 ***
ORIGIN_GRID_ID1014  2.7362343  0.1299917    21.049  < 2e-16 ***
ORIGIN_GRID_ID1015  2.0345836  0.1307994    15.555  < 2e-16 ***
ORIGIN_GRID_ID1016  3.8670135  0.1296923    29.817  < 2e-16 ***
ORIGIN_GRID_ID1018  4.6086701  0.1298495    35.492  < 2e-16 ***
ORIGIN_GRID_ID1019  6.1358069  0.1295426    47.365  < 2e-16 ***
ORIGIN_GRID_ID1023  4.1977330  0.1298157    32.336  < 2e-16 ***
ORIGIN_GRID_ID1024  5.2673824  0.1295392    40.662  < 2e-16 ***
ORIGIN_GRID_ID1025  0.4331456  0.1461907     2.963 0.003048 ** 
ORIGIN_GRID_ID1033  2.4801849  0.1301128    19.062  < 2e-16 ***
ORIGIN_GRID_ID1034  3.5007183  0.1296874    26.994  < 2e-16 ***
ORIGIN_GRID_ID1035  4.2760392  0.1295687    33.002  < 2e-16 ***
ORIGIN_GRID_ID1036  2.0668655  0.1307309    15.810  < 2e-16 ***
ORIGIN_GRID_ID1037  3.4801973  0.1296792    26.837  < 2e-16 ***
ORIGIN_GRID_ID1043  2.5347617  0.1322070    19.173  < 2e-16 ***
ORIGIN_GRID_ID1045  4.9347318  0.1295347    38.096  < 2e-16 ***
ORIGIN_GRID_ID1046  4.8966432  0.1295649    37.793  < 2e-16 ***
ORIGIN_GRID_ID1053  4.0790315  0.1295969    31.475  < 2e-16 ***
ORIGIN_GRID_ID1054  2.9560343  0.1297861    22.776  < 2e-16 ***
ORIGIN_GRID_ID1055  4.1366811  0.1295624    31.928  < 2e-16 ***
ORIGIN_GRID_ID1056  3.1384722  0.1298367    24.172  < 2e-16 ***
ORIGIN_GRID_ID1064  0.2529711  0.2889114     0.876 0.381247    
ORIGIN_GRID_ID1066  4.7040533  0.1295634    36.307  < 2e-16 ***
ORIGIN_GRID_ID1067 -0.9908470  0.2417401    -4.099 4.15e-05 ***
ORIGIN_GRID_ID1074  3.3647158  0.1297246    25.937  < 2e-16 ***
ORIGIN_GRID_ID1075  2.5519276  0.1300191    19.627  < 2e-16 ***
ORIGIN_GRID_ID1076  2.8410875  0.1297909    21.890  < 2e-16 ***
ORIGIN_GRID_ID1077  3.0008935  0.1299373    23.095  < 2e-16 ***
ORIGIN_GRID_ID1079  4.4005249  0.1295718    33.962  < 2e-16 ***
ORIGIN_GRID_ID1085 -1.4752692  0.2215626    -6.658 2.77e-11 ***
ORIGIN_GRID_ID1087  4.7462577  0.1295950    36.624  < 2e-16 ***
ORIGIN_GRID_ID1088  3.0009003  0.1300631    23.073  < 2e-16 ***
ORIGIN_GRID_ID1094  1.3897889  0.1386609    10.023  < 2e-16 ***
ORIGIN_GRID_ID1095  0.7936824  0.1368159     5.801 6.59e-09 ***
ORIGIN_GRID_ID1096  2.8291150  0.1314529    21.522  < 2e-16 ***
ORIGIN_GRID_ID1097  4.7977885  0.1295045    37.047  < 2e-16 ***
ORIGIN_GRID_ID1098  2.3958521  0.1309856    18.291  < 2e-16 ***
ORIGIN_GRID_ID1099  3.8152663  0.1296520    29.427  < 2e-16 ***
ORIGIN_GRID_ID1105  1.3177087  0.1520039     8.669  < 2e-16 ***
ORIGIN_GRID_ID1106 -0.2033498  0.1726077    -1.178 0.238755    
ORIGIN_GRID_ID1107  2.3780426  0.1331017    17.866  < 2e-16 ***
ORIGIN_GRID_ID1108  6.5489351  0.1294783    50.579  < 2e-16 ***
ORIGIN_GRID_ID1109  1.7087473  0.1324328    12.903  < 2e-16 ***
ORIGIN_GRID_ID1116  3.1806567  0.1297892    24.506  < 2e-16 ***
ORIGIN_GRID_ID1117  1.5107910  0.1314793    11.491  < 2e-16 ***
ORIGIN_GRID_ID1118  2.0017458  0.1310998    15.269  < 2e-16 ***
ORIGIN_GRID_ID1119  2.9868469  0.1299429    22.986  < 2e-16 ***
ORIGIN_GRID_ID1120  2.9456861  0.1302808    22.610  < 2e-16 ***
ORIGIN_GRID_ID1129  5.0754948  0.1295516    39.177  < 2e-16 ***
ORIGIN_GRID_ID1130  5.0687874  0.1295194    39.135  < 2e-16 ***
ORIGIN_GRID_ID1131  2.9766761  0.1305694    22.798  < 2e-16 ***
ORIGIN_GRID_ID1136  2.2212553  0.1303989    17.034  < 2e-16 ***
ORIGIN_GRID_ID1138  1.0220132  0.1357068     7.531 5.03e-14 ***
ORIGIN_GRID_ID1139  3.9730594  0.1295671    30.664  < 2e-16 ***
ORIGIN_GRID_ID1141  3.9391443  0.1296222    30.389  < 2e-16 ***
ORIGIN_GRID_ID1148  1.5159962  0.1388321    10.920  < 2e-16 ***
ORIGIN_GRID_ID1149  2.8193183  0.1310135    21.519  < 2e-16 ***
ORIGIN_GRID_ID1150  5.3050466  0.1295094    40.963  < 2e-16 ***
ORIGIN_GRID_ID1151  4.1390526  0.1296330    31.929  < 2e-16 ***
ORIGIN_GRID_ID1158  2.2664512  0.1300688    17.425  < 2e-16 ***
ORIGIN_GRID_ID1159  3.7553837  0.1295912    28.979  < 2e-16 ***
ORIGIN_GRID_ID1160  4.7975884  0.1295070    37.045  < 2e-16 ***
ORIGIN_GRID_ID1171  5.8734835  0.1295205    45.348  < 2e-16 ***
ORIGIN_GRID_ID1172  5.6664149  0.1295176    43.750  < 2e-16 ***
ORIGIN_GRID_ID1173  2.8932903  0.1301767    22.226  < 2e-16 ***
ORIGIN_GRID_ID1174 -1.3503970  0.2888987    -4.674 2.95e-06 ***
ORIGIN_GRID_ID1178  2.5060113  0.1299982    19.277  < 2e-16 ***
ORIGIN_GRID_ID1179  3.1787054  0.1296857    24.511  < 2e-16 ***
ORIGIN_GRID_ID1180  4.2790617  0.1295314    33.035  < 2e-16 ***
ORIGIN_GRID_ID1181  3.5643239  0.1296487    27.492  < 2e-16 ***
ORIGIN_GRID_ID1183  2.6594906  0.1302535    20.418  < 2e-16 ***
ORIGIN_GRID_ID1190  1.6055290  0.1390711    11.545  < 2e-16 ***
ORIGIN_GRID_ID1192  4.5473435  0.1296296    35.080  < 2e-16 ***
ORIGIN_GRID_ID1193  4.5019376  0.1295768    34.743  < 2e-16 ***
ORIGIN_GRID_ID1194  2.6889240  0.1304028    20.620  < 2e-16 ***
ORIGIN_GRID_ID1200  3.3472734  0.1296558    25.817  < 2e-16 ***
ORIGIN_GRID_ID1201  3.1248740  0.1296955    24.094  < 2e-16 ***
ORIGIN_GRID_ID1203  4.0322141  0.1296058    31.111  < 2e-16 ***
ORIGIN_GRID_ID1204  3.8764315  0.1296287    29.904  < 2e-16 ***
ORIGIN_GRID_ID1211  0.3945267  0.2538798     1.554 0.120187    
ORIGIN_GRID_ID1214  5.3296933  0.1295270    41.147  < 2e-16 ***
ORIGIN_GRID_ID1215  1.7370602  0.1368589    12.692  < 2e-16 ***
ORIGIN_GRID_ID1216  0.7854478  0.1365190     5.753 8.75e-09 ***
ORIGIN_GRID_ID1220  4.2997603  0.1295300    33.195  < 2e-16 ***
ORIGIN_GRID_ID1221  3.9931191  0.1295431    30.825  < 2e-16 ***
ORIGIN_GRID_ID1222  3.6559472  0.1298962    28.145  < 2e-16 ***
ORIGIN_GRID_ID1223  1.9429674  0.1308637    14.847  < 2e-16 ***
ORIGIN_GRID_ID1224  2.8131307  0.1299910    21.641  < 2e-16 ***
ORIGIN_GRID_ID1231 -1.1001334  0.2382821    -4.617 3.89e-06 ***
ORIGIN_GRID_ID1232  1.5279050  0.1571607     9.722  < 2e-16 ***
ORIGIN_GRID_ID1235  2.8291608  0.1302548    21.720  < 2e-16 ***
ORIGIN_GRID_ID1236  2.5793950  0.1303669    19.786  < 2e-16 ***
ORIGIN_GRID_ID1241  2.5226607  0.1299718    19.409  < 2e-16 ***
ORIGIN_GRID_ID1242  3.1963379  0.1296642    24.651  < 2e-16 ***
ORIGIN_GRID_ID1243  3.8058850  0.1295625    29.375  < 2e-16 ***
ORIGIN_GRID_ID1246  2.9942682  0.1298666    23.056  < 2e-16 ***
ORIGIN_GRID_ID1256  4.2819698  0.1296827    33.019  < 2e-16 ***
ORIGIN_GRID_ID1257  5.1743573  0.1295790    39.932  < 2e-16 ***
ORIGIN_GRID_ID1258  3.0843780  0.1303267    23.667  < 2e-16 ***
ORIGIN_GRID_ID1262  2.9674123  0.1297705    22.867  < 2e-16 ***
ORIGIN_GRID_ID1263  3.4035814  0.1295932    26.264  < 2e-16 ***
ORIGIN_GRID_ID1264  2.3875098  0.1302330    18.333  < 2e-16 ***
ORIGIN_GRID_ID1265  2.0633303  0.1307124    15.785  < 2e-16 ***
ORIGIN_GRID_ID1266  3.6995744  0.1297067    28.523  < 2e-16 ***
ORIGIN_GRID_ID1267  1.5877485  0.1336306    11.882  < 2e-16 ***
ORIGIN_GRID_ID1272 -0.7986926  0.1962372    -4.070 4.70e-05 ***
ORIGIN_GRID_ID1273  3.5489402  0.1301352    27.271  < 2e-16 ***
ORIGIN_GRID_ID1277  5.2191450  0.1295289    40.293  < 2e-16 ***
ORIGIN_GRID_ID1278  2.5850269  0.1303158    19.837  < 2e-16 ***
ORIGIN_GRID_ID1283  4.6757234  0.1295199    36.100  < 2e-16 ***
ORIGIN_GRID_ID1284  3.9464974  0.1295560    30.462  < 2e-16 ***
ORIGIN_GRID_ID1285  4.5776562  0.1295036    35.348  < 2e-16 ***
ORIGIN_GRID_ID1286  2.7632683  0.1300119    21.254  < 2e-16 ***
ORIGIN_GRID_ID1289  1.1161063  0.1403926     7.950 1.87e-15 ***
ORIGIN_GRID_ID1293  0.2650562  0.1533829     1.728 0.083976 .  
ORIGIN_GRID_ID1294  5.0443666  0.1296145    38.918  < 2e-16 ***
ORIGIN_GRID_ID1295  2.4858665  0.1314296    18.914  < 2e-16 ***
ORIGIN_GRID_ID1298  4.2997145  0.1296525    33.163  < 2e-16 ***
ORIGIN_GRID_ID1299  4.6495288  0.1296161    35.872  < 2e-16 ***
ORIGIN_GRID_ID1304  4.5822559  0.1295185    35.379  < 2e-16 ***
ORIGIN_GRID_ID1305  3.9403926  0.1295297    30.421  < 2e-16 ***
ORIGIN_GRID_ID1307  0.1595614  0.1400368     1.139 0.254526    
ORIGIN_GRID_ID1308  3.7606637  0.1296321    29.010  < 2e-16 ***
ORIGIN_GRID_ID1310 -1.0827443  0.2689184    -4.026 5.67e-05 ***
ORIGIN_GRID_ID1316  1.5878952  0.1344850    11.807  < 2e-16 ***
ORIGIN_GRID_ID1317  3.2639713  0.1300179    25.104  < 2e-16 ***
ORIGIN_GRID_ID1318  2.5602756  0.1305420    19.613  < 2e-16 ***
ORIGIN_GRID_ID1319  5.5219006  0.1295204    42.633  < 2e-16 ***
ORIGIN_GRID_ID1320  4.0668524  0.1297837    31.336  < 2e-16 ***
ORIGIN_GRID_ID1325  2.1843522  0.1301657    16.781  < 2e-16 ***
ORIGIN_GRID_ID1326  4.1488650  0.1295251    32.031  < 2e-16 ***
ORIGIN_GRID_ID1327  3.8838976  0.1295496    29.980  < 2e-16 ***
ORIGIN_GRID_ID1328  2.5016267  0.1299283    19.254  < 2e-16 ***
ORIGIN_GRID_ID1329  2.7954768  0.1301131    21.485  < 2e-16 ***
ORIGIN_GRID_ID1330  3.6743144  0.1297640    28.315  < 2e-16 ***
ORIGIN_GRID_ID1331 -1.3211288  0.3576104    -3.694 0.000220 ***
ORIGIN_GRID_ID1333  3.0893113  0.1301351    23.739  < 2e-16 ***
ORIGIN_GRID_ID1334  3.3510441  0.1300405    25.769  < 2e-16 ***
ORIGIN_GRID_ID1335  2.9565470  0.1307090    22.619  < 2e-16 ***
ORIGIN_GRID_ID1336  0.1305294  0.1897176     0.688 0.491441    
ORIGIN_GRID_ID1337  0.5318491  0.1417560     3.752 0.000176 ***
ORIGIN_GRID_ID1338 -0.8686145  0.1724803    -5.036 4.75e-07 ***
ORIGIN_GRID_ID1339  5.3557540  0.1295162    41.352  < 2e-16 ***
ORIGIN_GRID_ID1340  3.7793936  0.1297861    29.120  < 2e-16 ***
ORIGIN_GRID_ID1341  0.8988677  0.2584336     3.478 0.000505 ***
ORIGIN_GRID_ID1346  3.7683777  0.1296356    29.069  < 2e-16 ***
ORIGIN_GRID_ID1347  4.7676191  0.1295051    36.814  < 2e-16 ***
ORIGIN_GRID_ID1348  3.1160250  0.1296532    24.034  < 2e-16 ***
ORIGIN_GRID_ID1349  2.9404331  0.1298037    22.653  < 2e-16 ***
ORIGIN_GRID_ID1350  3.2787344  0.1299903    25.223  < 2e-16 ***
ORIGIN_GRID_ID1353  3.0938199  0.1298968    23.818  < 2e-16 ***
ORIGIN_GRID_ID1354  2.8560623  0.1301852    21.938  < 2e-16 ***
ORIGIN_GRID_ID1355  3.6801503  0.1297720    28.359  < 2e-16 ***
ORIGIN_GRID_ID1357  2.7137527  0.1310843    20.702  < 2e-16 ***
ORIGIN_GRID_ID1358  4.1194421  0.1296856    31.765  < 2e-16 ***
ORIGIN_GRID_ID1359  4.4041268  0.1295744    33.989  < 2e-16 ***
ORIGIN_GRID_ID1360  4.5347139  0.1295763    34.996  < 2e-16 ***
ORIGIN_GRID_ID1361  5.6356077  0.1295290    43.508  < 2e-16 ***
ORIGIN_GRID_ID1362  1.7498226  0.1359619    12.870  < 2e-16 ***
ORIGIN_GRID_ID1368  2.6347130  0.1298041    20.298  < 2e-16 ***
ORIGIN_GRID_ID1369  2.3405270  0.1298664    18.023  < 2e-16 ***
ORIGIN_GRID_ID1370  3.5740928  0.1295730    27.584  < 2e-16 ***
ORIGIN_GRID_ID1371  2.9585602  0.1299312    22.770  < 2e-16 ***
ORIGIN_GRID_ID1372  2.2729839  0.1301954    17.458  < 2e-16 ***
ORIGIN_GRID_ID1373  0.6559498  0.1397495     4.694 2.68e-06 ***
ORIGIN_GRID_ID1374  2.5822642  0.1300911    19.850  < 2e-16 ***
ORIGIN_GRID_ID1375  4.1219102  0.1297204    31.775  < 2e-16 ***
ORIGIN_GRID_ID1376  3.4160906  0.1301978    26.238  < 2e-16 ***
ORIGIN_GRID_ID1379  1.7430272  0.1344517    12.964  < 2e-16 ***
ORIGIN_GRID_ID1380  5.7447909  0.1294932    44.364  < 2e-16 ***
ORIGIN_GRID_ID1381  5.3362103  0.1295157    41.201  < 2e-16 ***
ORIGIN_GRID_ID1382  4.8380336  0.1296212    37.324  < 2e-16 ***
ORIGIN_GRID_ID1383  2.4535486  0.1320024    18.587  < 2e-16 ***
ORIGIN_GRID_ID1388  3.1702473  0.1296661    24.449  < 2e-16 ***
ORIGIN_GRID_ID1389  1.9138532  0.1300732    14.714  < 2e-16 ***
ORIGIN_GRID_ID1390  3.0598944  0.1296808    23.596  < 2e-16 ***
ORIGIN_GRID_ID1391  3.1493540  0.1297316    24.276  < 2e-16 ***
ORIGIN_GRID_ID1392  2.6505463  0.1308345    20.259  < 2e-16 ***
ORIGIN_GRID_ID1393  1.8245983  0.1304814    13.984  < 2e-16 ***
ORIGIN_GRID_ID1394  3.2771008  0.1297126    25.264  < 2e-16 ***
ORIGIN_GRID_ID1395  3.3561832  0.1297108    25.874  < 2e-16 ***
ORIGIN_GRID_ID1396  4.4704817  0.1295616    34.505  < 2e-16 ***
ORIGIN_GRID_ID1397  4.5465139  0.1295705    35.089  < 2e-16 ***
ORIGIN_GRID_ID1398  3.4779303  0.1299875    26.756  < 2e-16 ***
ORIGIN_GRID_ID1400  4.6627061  0.1296299    35.969  < 2e-16 ***
ORIGIN_GRID_ID1401  5.7750400  0.1294877    44.599  < 2e-16 ***
ORIGIN_GRID_ID1402  5.0074999  0.1295370    38.657  < 2e-16 ***
ORIGIN_GRID_ID1404  5.1209871  0.1304493    39.257  < 2e-16 ***
ORIGIN_GRID_ID1410  2.6854617  0.1297403    20.699  < 2e-16 ***
ORIGIN_GRID_ID1411  2.7277436  0.1297623    21.021  < 2e-16 ***
ORIGIN_GRID_ID1412  2.9944360  0.1296529    23.096  < 2e-16 ***
ORIGIN_GRID_ID1413  3.8876122  0.1295688    30.004  < 2e-16 ***
ORIGIN_GRID_ID1414  3.2629948  0.1296365    25.170  < 2e-16 ***
ORIGIN_GRID_ID1415  2.8087009  0.1298467    21.631  < 2e-16 ***
ORIGIN_GRID_ID1416  3.4856181  0.1296622    26.882  < 2e-16 ***
ORIGIN_GRID_ID1417  3.6246144  0.1296443    27.958  < 2e-16 ***
ORIGIN_GRID_ID1418  4.4431908  0.1295525    34.296  < 2e-16 ***
ORIGIN_GRID_ID1419  3.9118693  0.1296454    30.174  < 2e-16 ***
ORIGIN_GRID_ID1422  5.1907235  0.1295450    40.069  < 2e-16 ***
ORIGIN_GRID_ID1423  5.9289748  0.1295046    45.782  < 2e-16 ***
ORIGIN_GRID_ID1430  3.4829757  0.1296240    26.870  < 2e-16 ***
ORIGIN_GRID_ID1431  3.4528444  0.1295738    26.648  < 2e-16 ***
ORIGIN_GRID_ID1432  3.5778340  0.1295630    27.615  < 2e-16 ***
ORIGIN_GRID_ID1433  2.3185337  0.1307312    17.735  < 2e-16 ***
ORIGIN_GRID_ID1434  3.8567830  0.1295829    29.763  < 2e-16 ***
ORIGIN_GRID_ID1435  4.2598222  0.1295201    32.889  < 2e-16 ***
ORIGIN_GRID_ID1436  1.1282625  0.1320539     8.544  < 2e-16 ***
ORIGIN_GRID_ID1437  4.4381061  0.1295348    34.262  < 2e-16 ***
ORIGIN_GRID_ID1438  4.9291181  0.1294974    38.063  < 2e-16 ***
ORIGIN_GRID_ID1439  5.5235412  0.1294878    42.657  < 2e-16 ***
ORIGIN_GRID_ID1440  1.9719231  0.1312132    15.028  < 2e-16 ***
ORIGIN_GRID_ID1442  4.9130678  0.1296289    37.901  < 2e-16 ***
ORIGIN_GRID_ID1443  5.8750094  0.1295111    45.363  < 2e-16 ***
ORIGIN_GRID_ID1444  4.9275158  0.1296955    37.993  < 2e-16 ***
ORIGIN_GRID_ID1452  2.5658937  0.1297777    19.771  < 2e-16 ***
ORIGIN_GRID_ID1453  2.6987476  0.1297495    20.800  < 2e-16 ***
ORIGIN_GRID_ID1454  1.8027177  0.1311458    13.746  < 2e-16 ***
ORIGIN_GRID_ID1455  3.2188191  0.1297731    24.803  < 2e-16 ***
ORIGIN_GRID_ID1456  3.6257015  0.1296119    27.974  < 2e-16 ***
ORIGIN_GRID_ID1457  4.4955229  0.1295215    34.709  < 2e-16 ***
ORIGIN_GRID_ID1458  4.8309422  0.1295063    37.303  < 2e-16 ***
ORIGIN_GRID_ID1459  4.2743912  0.1295421    32.996  < 2e-16 ***
ORIGIN_GRID_ID1460  3.4660421  0.1296392    26.736  < 2e-16 ***
ORIGIN_GRID_ID1461  2.1188770  0.1306983    16.212  < 2e-16 ***
ORIGIN_GRID_ID1464  6.3552325  0.1295014    49.075  < 2e-16 ***
ORIGIN_GRID_ID1465  5.8689798  0.1295394    45.307  < 2e-16 ***
ORIGIN_GRID_ID1472  1.1353881  0.1315604     8.630  < 2e-16 ***
ORIGIN_GRID_ID1473  2.0996297  0.1299787    16.154  < 2e-16 ***
ORIGIN_GRID_ID1474  3.2703973  0.1295921    25.236  < 2e-16 ***
ORIGIN_GRID_ID1475  4.2435036  0.1295314    32.760  < 2e-16 ***
ORIGIN_GRID_ID1476  3.5916630  0.1296316    27.707  < 2e-16 ***
ORIGIN_GRID_ID1477  5.1416893  0.1294806    39.710  < 2e-16 ***
ORIGIN_GRID_ID1478  3.4599893  0.1296325    26.691  < 2e-16 ***
ORIGIN_GRID_ID1479  3.6893905  0.1295951    28.469  < 2e-16 ***
ORIGIN_GRID_ID1480  5.5132787  0.1294790    42.580  < 2e-16 ***
ORIGIN_GRID_ID1481  2.8520157  0.1298919    21.957  < 2e-16 ***
ORIGIN_GRID_ID1482  3.0685641  0.1302162    23.565  < 2e-16 ***
ORIGIN_GRID_ID1485  5.8298424  0.1295438    45.003  < 2e-16 ***
ORIGIN_GRID_ID1494  2.3357836  0.1302453    17.934  < 2e-16 ***
ORIGIN_GRID_ID1495  2.5787046  0.1297655    19.872  < 2e-16 ***
ORIGIN_GRID_ID1496  3.7217812  0.1295480    28.729  < 2e-16 ***
ORIGIN_GRID_ID1497  4.0702978  0.1295651    31.415  < 2e-16 ***
ORIGIN_GRID_ID1498  4.4293240  0.1295192    34.198  < 2e-16 ***
ORIGIN_GRID_ID1499  4.6686106  0.1295040    36.050  < 2e-16 ***
ORIGIN_GRID_ID1500  4.5700351  0.1295722    35.270  < 2e-16 ***
ORIGIN_GRID_ID1501  4.8091916  0.1295056    37.135  < 2e-16 ***
ORIGIN_GRID_ID1502  4.2559700  0.1295458    32.853  < 2e-16 ***
ORIGIN_GRID_ID1506  0.4057317  0.1685004     2.408 0.016045 *  
ORIGIN_GRID_ID1515  1.5108636  0.1320452    11.442  < 2e-16 ***
ORIGIN_GRID_ID1516  2.9636541  0.1296894    22.852  < 2e-16 ***
ORIGIN_GRID_ID1517  3.4479817  0.1296550    26.594  < 2e-16 ***
ORIGIN_GRID_ID1518  3.3520745  0.1296873    25.847  < 2e-16 ***
ORIGIN_GRID_ID1519  4.7023556  0.1295513    36.297  < 2e-16 ***
ORIGIN_GRID_ID1520  3.4030171  0.1296516    26.247  < 2e-16 ***
ORIGIN_GRID_ID1521  2.7452198  0.1299260    21.129  < 2e-16 ***
ORIGIN_GRID_ID1522  5.0149195  0.1294982    38.726  < 2e-16 ***
ORIGIN_GRID_ID1523  3.5060794  0.1304724    26.872  < 2e-16 ***
ORIGIN_GRID_ID1524  3.6799014  0.1298414    28.342  < 2e-16 ***
ORIGIN_GRID_ID1527  3.6871961  0.1304954    28.255  < 2e-16 ***
ORIGIN_GRID_ID1535 -0.0137562  0.1641479    -0.084 0.933212    
ORIGIN_GRID_ID1536  0.8637821  0.1342040     6.436 1.22e-10 ***
ORIGIN_GRID_ID1537  1.5609346  0.1310447    11.911  < 2e-16 ***
ORIGIN_GRID_ID1538  3.1932128  0.1296297    24.633  < 2e-16 ***
ORIGIN_GRID_ID1539  3.7282786  0.1295621    28.776  < 2e-16 ***
ORIGIN_GRID_ID1540  4.3241653  0.1295253    33.385  < 2e-16 ***
ORIGIN_GRID_ID1541  5.5191396  0.1295695    42.596  < 2e-16 ***
ORIGIN_GRID_ID1542  2.4658804  0.1304548    18.902  < 2e-16 ***
ORIGIN_GRID_ID1543  3.2941920  0.1314451    25.061  < 2e-16 ***
ORIGIN_GRID_ID1544  4.2644803  0.1296270    32.898  < 2e-16 ***
ORIGIN_GRID_ID1547  1.4745722  0.1427382    10.331  < 2e-16 ***
ORIGIN_GRID_ID1556  1.1270159  0.1488299     7.573 3.66e-14 ***
ORIGIN_GRID_ID1557  0.8756098  0.1347935     6.496 8.25e-11 ***
ORIGIN_GRID_ID1558  2.1169060  0.1311069    16.146  < 2e-16 ***
ORIGIN_GRID_ID1559  3.8526227  0.1295494    29.739  < 2e-16 ***
ORIGIN_GRID_ID1560  4.7008372  0.1295019    36.299  < 2e-16 ***
ORIGIN_GRID_ID1561  4.5673581  0.1295336    35.260  < 2e-16 ***
ORIGIN_GRID_ID1562  1.6294586  0.1312267    12.417  < 2e-16 ***
ORIGIN_GRID_ID1563  3.4468772  0.1296717    26.582  < 2e-16 ***
ORIGIN_GRID_ID1564  2.6069473  0.1302137    20.021  < 2e-16 ***
ORIGIN_GRID_ID1565  2.6692316  0.1302608    20.491  < 2e-16 ***
ORIGIN_GRID_ID1566  2.4201575  0.1310899    18.462  < 2e-16 ***
ORIGIN_GRID_ID1567  0.3503920  0.1605544     2.182 0.029081 *  
ORIGIN_GRID_ID1568  1.2642296  0.1460773     8.655  < 2e-16 ***
ORIGIN_GRID_ID1578 -1.5696643  0.2899357    -5.414 6.17e-08 ***
ORIGIN_GRID_ID1580  2.3270422  0.1306471    17.812  < 2e-16 ***
ORIGIN_GRID_ID1581  1.1660986  0.1312971     8.881  < 2e-16 ***
ORIGIN_GRID_ID1582  4.3913165  0.1295094    33.907  < 2e-16 ***
ORIGIN_GRID_ID1583  2.6556784  0.1312357    20.236  < 2e-16 ***
ORIGIN_GRID_ID1584  2.9308607  0.1299112    22.560  < 2e-16 ***
ORIGIN_GRID_ID1585  3.5580762  0.1298273    27.406  < 2e-16 ***
ORIGIN_GRID_ID1586  2.5475992  0.1301935    19.568  < 2e-16 ***
ORIGIN_GRID_ID1589  0.4282489  0.1608084     2.663 0.007742 ** 
ORIGIN_GRID_ID1590  1.2295006  0.1447428     8.494  < 2e-16 ***
ORIGIN_GRID_ID1600  4.4446514  0.1298995    34.216  < 2e-16 ***
ORIGIN_GRID_ID1601  2.9883340  0.1296961    23.041  < 2e-16 ***
ORIGIN_GRID_ID1602  3.6704652  0.1296046    28.320  < 2e-16 ***
ORIGIN_GRID_ID1603  4.5798227  0.1295133    35.362  < 2e-16 ***
ORIGIN_GRID_ID1604  3.0978118  0.1297133    23.882  < 2e-16 ***
ORIGIN_GRID_ID1605  4.5082006  0.1295213    34.807  < 2e-16 ***
ORIGIN_GRID_ID1606  3.9846435  0.1298313    30.691  < 2e-16 ***
ORIGIN_GRID_ID1607  3.3084788  0.1298164    25.486  < 2e-16 ***
ORIGIN_GRID_ID1608  5.3175798  0.1295287    41.053  < 2e-16 ***
ORIGIN_GRID_ID1609  5.1932373  0.1295783    40.078  < 2e-16 ***
ORIGIN_GRID_ID1610  1.7974464  0.1457124    12.336  < 2e-16 ***
ORIGIN_GRID_ID1622  3.0546145  0.1314429    23.239  < 2e-16 ***
ORIGIN_GRID_ID1623  4.3708011  0.1295153    33.747  < 2e-16 ***
ORIGIN_GRID_ID1624  3.1454227  0.1297287    24.246  < 2e-16 ***
ORIGIN_GRID_ID1625  4.5396117  0.1295356    35.045  < 2e-16 ***
ORIGIN_GRID_ID1626  5.2119124  0.1294915    40.249  < 2e-16 ***
ORIGIN_GRID_ID1627  3.6005715  0.1296611    27.769  < 2e-16 ***
ORIGIN_GRID_ID1628  5.3442840  0.1294944    41.270  < 2e-16 ***
ORIGIN_GRID_ID1629  4.3509824  0.1296319    33.564  < 2e-16 ***
ORIGIN_GRID_ID1630  4.4901251  0.1296855    34.623  < 2e-16 ***
ORIGIN_GRID_ID1631  0.7924822  0.1471991     5.384 7.30e-08 ***
ORIGIN_GRID_ID1642  1.8647874  0.1330305    14.018  < 2e-16 ***
ORIGIN_GRID_ID1643  4.3280735  0.1295262    33.415  < 2e-16 ***
ORIGIN_GRID_ID1644  2.1086712  0.1305972    16.146  < 2e-16 ***
ORIGIN_GRID_ID1645  3.5727527  0.1296039    27.567  < 2e-16 ***
ORIGIN_GRID_ID1646  3.4154361  0.1297862    26.316  < 2e-16 ***
ORIGIN_GRID_ID1647  3.7945875  0.1295883    29.282  < 2e-16 ***
ORIGIN_GRID_ID1648  4.4423566  0.1295412    34.293  < 2e-16 ***
ORIGIN_GRID_ID1649  5.2243326  0.1295014    40.342  < 2e-16 ***
ORIGIN_GRID_ID1650  5.3411124  0.1295616    41.225  < 2e-16 ***
ORIGIN_GRID_ID1664 -0.7651793  0.1962777    -3.898 9.68e-05 ***
ORIGIN_GRID_ID1665  4.5031360  0.1295112    34.770  < 2e-16 ***
ORIGIN_GRID_ID1666  3.1916759  0.1296610    24.616  < 2e-16 ***
ORIGIN_GRID_ID1667  4.1939263  0.1299062    32.284  < 2e-16 ***
ORIGIN_GRID_ID1668  4.3460723  0.1295374    33.551  < 2e-16 ***
ORIGIN_GRID_ID1670  5.2408225  0.1294946    40.471  < 2e-16 ***
ORIGIN_GRID_ID1671  5.9624844  0.1295571    46.022  < 2e-16 ***
ORIGIN_GRID_ID1672  5.6379651  0.1295833    43.508  < 2e-16 ***
ORIGIN_GRID_ID1684  3.4706826  0.1301710    26.662  < 2e-16 ***
ORIGIN_GRID_ID1685  4.0713375  0.1295644    31.423  < 2e-16 ***
ORIGIN_GRID_ID1686  3.9308005  0.1295680    30.338  < 2e-16 ***
ORIGIN_GRID_ID1687  3.5146540  0.1296799    27.103  < 2e-16 ***
ORIGIN_GRID_ID1688  3.0516644  0.1297577    23.518  < 2e-16 ***
ORIGIN_GRID_ID1689  2.6525221  0.1301497    20.381  < 2e-16 ***
ORIGIN_GRID_ID1690  4.1700158  0.1296221    32.171  < 2e-16 ***
ORIGIN_GRID_ID1691  4.9592794  0.1295262    38.288  < 2e-16 ***
ORIGIN_GRID_ID1692  4.5498136  0.1297226    35.073  < 2e-16 ***
ORIGIN_GRID_ID1706  4.0056840  0.1296179    30.904  < 2e-16 ***
ORIGIN_GRID_ID1707  3.9601807  0.1295518    30.568  < 2e-16 ***
ORIGIN_GRID_ID1708  4.4652471  0.1295157    34.476  < 2e-16 ***
ORIGIN_GRID_ID1709  3.6145253  0.1296255    27.884  < 2e-16 ***
ORIGIN_GRID_ID1710  4.7880815  0.1295195    36.968  < 2e-16 ***
ORIGIN_GRID_ID1711  4.5322725  0.1295571    34.983  < 2e-16 ***
ORIGIN_GRID_ID1712  5.2183917  0.1294952    40.298  < 2e-16 ***
ORIGIN_GRID_ID1713  2.8458812  0.1301606    21.864  < 2e-16 ***
ORIGIN_GRID_ID1714  5.5243094  0.1295387    42.646  < 2e-16 ***
ORIGIN_GRID_ID1727  4.2645692  0.1295640    32.915  < 2e-16 ***
ORIGIN_GRID_ID1728  4.0771651  0.1295484    31.472  < 2e-16 ***
ORIGIN_GRID_ID1729  3.5434276  0.1295900    27.343  < 2e-16 ***
ORIGIN_GRID_ID1730  1.5862593  0.1315229    12.061  < 2e-16 ***
ORIGIN_GRID_ID1731  4.3856348  0.1295566    33.851  < 2e-16 ***
ORIGIN_GRID_ID1732  4.9034541  0.1295050    37.863  < 2e-16 ***
ORIGIN_GRID_ID1733  4.7045669  0.1295305    36.320  < 2e-16 ***
ORIGIN_GRID_ID1734  5.1350319  0.1295238    39.645  < 2e-16 ***
ORIGIN_GRID_ID1735  6.8701857  0.1296240    53.001  < 2e-16 ***
ORIGIN_GRID_ID1748  2.9331304  0.1298762    22.584  < 2e-16 ***
ORIGIN_GRID_ID1749  3.9010949  0.1295589    30.111  < 2e-16 ***
ORIGIN_GRID_ID1750  3.0543826  0.1296893    23.552  < 2e-16 ***
ORIGIN_GRID_ID1751  2.4455252  0.1299433    18.820  < 2e-16 ***
ORIGIN_GRID_ID1753  4.9698796  0.1295094    38.375  < 2e-16 ***
ORIGIN_GRID_ID1754  5.3286158  0.1294927    41.150  < 2e-16 ***
ORIGIN_GRID_ID1755  4.8888194  0.1295265    37.744  < 2e-16 ***
ORIGIN_GRID_ID1756  4.8370074  0.1295677    37.332  < 2e-16 ***
ORIGIN_GRID_ID1757  2.8486234  0.1338268    21.286  < 2e-16 ***
ORIGIN_GRID_ID1769  3.7823262  0.1296048    29.184  < 2e-16 ***
ORIGIN_GRID_ID1770  3.3783495  0.1298919    26.009  < 2e-16 ***
ORIGIN_GRID_ID1771  2.5099316  0.1299644    19.312  < 2e-16 ***
ORIGIN_GRID_ID1772  1.2944247  0.1322665     9.786  < 2e-16 ***
ORIGIN_GRID_ID1774  4.6807523  0.1295242    36.138  < 2e-16 ***
ORIGIN_GRID_ID1775  4.3525107  0.1295752    33.591  < 2e-16 ***
ORIGIN_GRID_ID1776  5.5378079  0.1294966    42.764  < 2e-16 ***
ORIGIN_GRID_ID1777  5.6209522  0.1295120    43.401  < 2e-16 ***
ORIGIN_GRID_ID1778  5.4195532  0.1300656    41.668  < 2e-16 ***
ORIGIN_GRID_ID1790  4.4435488  0.1295541    34.299  < 2e-16 ***
ORIGIN_GRID_ID1791  3.7870737  0.1296306    29.214  < 2e-16 ***
ORIGIN_GRID_ID1792  3.7840483  0.1296475    29.187  < 2e-16 ***
ORIGIN_GRID_ID1793  1.6267648  0.1304198    12.473  < 2e-16 ***
ORIGIN_GRID_ID1794  1.5882168  0.1326479    11.973  < 2e-16 ***
ORIGIN_GRID_ID1795  1.1686948  0.1339541     8.725  < 2e-16 ***
ORIGIN_GRID_ID1796  5.1972578  0.1295253    40.125  < 2e-16 ***
ORIGIN_GRID_ID1797  5.2013854  0.1295111    40.162  < 2e-16 ***
ORIGIN_GRID_ID1798  5.2566291  0.1295118    40.588  < 2e-16 ***
ORIGIN_GRID_ID1799  4.5147588  0.1296857    34.813  < 2e-16 ***
ORIGIN_GRID_ID1800  3.8495978  0.1324740    29.059  < 2e-16 ***
ORIGIN_GRID_ID1811  3.5366919  0.1296885    27.271  < 2e-16 ***
ORIGIN_GRID_ID1812  4.6854831  0.1295031    36.180  < 2e-16 ***
ORIGIN_GRID_ID1813  4.4855767  0.1295128    34.634  < 2e-16 ***
ORIGIN_GRID_ID1817  5.0996855  0.1295646    39.360  < 2e-16 ***
ORIGIN_GRID_ID1818  5.0498663  0.1295323    38.985  < 2e-16 ***
ORIGIN_GRID_ID1819  5.5615999  0.1295057    42.945  < 2e-16 ***
ORIGIN_GRID_ID1820  2.7778261  0.1346185    20.635  < 2e-16 ***
ORIGIN_GRID_ID1832  4.2201155  0.1295780    32.568  < 2e-16 ***
ORIGIN_GRID_ID1833  3.7674836  0.1296026    29.070  < 2e-16 ***
ORIGIN_GRID_ID1834  4.1154723  0.1295355    31.771  < 2e-16 ***
ORIGIN_GRID_ID1835  3.4024728  0.1296835    26.237  < 2e-16 ***
ORIGIN_GRID_ID1837  0.6513357  0.1440760     4.521 6.16e-06 ***
ORIGIN_GRID_ID1839  4.5180314  0.1296651    34.844  < 2e-16 ***
ORIGIN_GRID_ID1840  6.3125265  0.1294808    48.753  < 2e-16 ***
ORIGIN_GRID_ID1841  1.8212907  0.1374000    13.255  < 2e-16 ***
ORIGIN_GRID_ID1842  6.2821807  0.1299695    48.336  < 2e-16 ***
ORIGIN_GRID_ID1853  4.1807762  0.1295527    32.271  < 2e-16 ***
ORIGIN_GRID_ID1854  4.3748977  0.1295428    33.772  < 2e-16 ***
ORIGIN_GRID_ID1855  4.6848624  0.1295214    36.171  < 2e-16 ***
ORIGIN_GRID_ID1858  2.4700359  0.1322723    18.674  < 2e-16 ***
ORIGIN_GRID_ID1860  5.8440973  0.1297590    45.038  < 2e-16 ***
ORIGIN_GRID_ID1861  5.3098588  0.1295371    40.991  < 2e-16 ***
ORIGIN_GRID_ID1874  4.3344626  0.1296108    33.442  < 2e-16 ***
ORIGIN_GRID_ID1875  2.6940666  0.1301830    20.694  < 2e-16 ***
ORIGIN_GRID_ID1876  4.7585856  0.1299295    36.624  < 2e-16 ***
ORIGIN_GRID_ID1877  4.4033634  0.1295446    33.991  < 2e-16 ***
ORIGIN_GRID_ID1880  0.8468867  0.1385141     6.114 9.71e-10 ***
ORIGIN_GRID_ID1882  5.1502051  0.1295496    39.755  < 2e-16 ***
ORIGIN_GRID_ID1883  5.6606459  0.1297862    43.615  < 2e-16 ***
ORIGIN_GRID_ID1895  4.4672434  0.1295443    34.484  < 2e-16 ***
ORIGIN_GRID_ID1896  2.8483715  0.1298433    21.937  < 2e-16 ***
ORIGIN_GRID_ID1897  3.4819052  0.1297939    26.826  < 2e-16 ***
ORIGIN_GRID_ID1898 -0.8986596  0.1987260    -4.522 6.12e-06 ***
ORIGIN_GRID_ID1901  0.7166187  0.1483570     4.830 1.36e-06 ***
ORIGIN_GRID_ID1903  5.0598976  0.1297727    38.990  < 2e-16 ***
ORIGIN_GRID_ID1917  2.9908180  0.1298440    23.034  < 2e-16 ***
ORIGIN_GRID_ID1918  4.5109737  0.1295928    34.809  < 2e-16 ***
ORIGIN_GRID_ID1919  4.3720565  0.1295619    33.745  < 2e-16 ***
ORIGIN_GRID_ID1922  2.2174112  0.1325019    16.735  < 2e-16 ***
ORIGIN_GRID_ID1924  4.8713952  0.1298136    37.526  < 2e-16 ***
ORIGIN_GRID_ID1937  3.8176502  0.1296549    29.445  < 2e-16 ***
ORIGIN_GRID_ID1938  4.5150133  0.1295303    34.857  < 2e-16 ***
ORIGIN_GRID_ID1939  5.1029870  0.1295185    39.400  < 2e-16 ***
ORIGIN_GRID_ID1942  1.0378011  0.1374710     7.549 4.38e-14 ***
ORIGIN_GRID_ID1959  3.4192921  0.1297712    26.349  < 2e-16 ***
ORIGIN_GRID_ID1960  5.3933530  0.1294828    41.653  < 2e-16 ***
ORIGIN_GRID_ID1961  3.8302715  0.1296519    29.543  < 2e-16 ***
ORIGIN_GRID_ID1962  4.8744402  0.1295257    37.633  < 2e-16 ***
ORIGIN_GRID_ID1964  0.1951234  0.1555266     1.255 0.209625    
ORIGIN_GRID_ID1979  3.7144527  0.1297220    28.634  < 2e-16 ***
ORIGIN_GRID_ID1980  2.0391014  0.1303063    15.649  < 2e-16 ***
ORIGIN_GRID_ID1981  4.5094962  0.1295273    34.815  < 2e-16 ***
ORIGIN_GRID_ID1982  3.5160981  0.1299771    27.052  < 2e-16 ***
ORIGIN_GRID_ID1983  4.7850784  0.1295290    36.942  < 2e-16 ***
ORIGIN_GRID_ID1984  3.4819864  0.1297034    26.846  < 2e-16 ***
ORIGIN_GRID_ID1985  4.2753701  0.1296116    32.986  < 2e-16 ***
ORIGIN_GRID_ID2001  4.0224288  0.1295971    31.038  < 2e-16 ***
ORIGIN_GRID_ID2002  4.5950943  0.1295096    35.481  < 2e-16 ***
ORIGIN_GRID_ID2003  4.2499253  0.1295563    32.804  < 2e-16 ***
ORIGIN_GRID_ID2004  4.8509741  0.1295251    37.452  < 2e-16 ***
ORIGIN_GRID_ID2005  4.7564195  0.1295202    36.723  < 2e-16 ***
ORIGIN_GRID_ID2006  3.2909912  0.1298202    25.350  < 2e-16 ***
ORIGIN_GRID_ID2007  2.7471672  0.1305356    21.045  < 2e-16 ***
ORIGIN_GRID_ID2022  4.3799548  0.1296004    33.796  < 2e-16 ***
ORIGIN_GRID_ID2023  4.8576326  0.1295063    37.509  < 2e-16 ***
ORIGIN_GRID_ID2024  4.1567495  0.1295463    32.087  < 2e-16 ***
ORIGIN_GRID_ID2025  4.2244761  0.1295389    32.612  < 2e-16 ***
ORIGIN_GRID_ID2026  2.9274015  0.1300125    22.516  < 2e-16 ***
ORIGIN_GRID_ID2027  5.1652141  0.1295149    39.881  < 2e-16 ***
ORIGIN_GRID_ID2043  3.7360782  0.1296998    28.806  < 2e-16 ***
ORIGIN_GRID_ID2044  4.4653641  0.1295245    34.475  < 2e-16 ***
ORIGIN_GRID_ID2045 -0.0143942  0.1514502    -0.095 0.924281    
ORIGIN_GRID_ID2046  4.4043491  0.1295140    34.007  < 2e-16 ***
ORIGIN_GRID_ID2047  4.2409705  0.1295632    32.733  < 2e-16 ***
ORIGIN_GRID_ID2048  4.4870139  0.1295382    34.639  < 2e-16 ***
ORIGIN_GRID_ID2049  3.5662488  0.1302043    27.390  < 2e-16 ***
ORIGIN_GRID_ID2064  4.4353047  0.1295533    34.235  < 2e-16 ***
ORIGIN_GRID_ID2065  2.8815924  0.1297655    22.206  < 2e-16 ***
ORIGIN_GRID_ID2066  2.2495968  0.1319800    17.045  < 2e-16 ***
ORIGIN_GRID_ID2067  5.6572006  0.1294790    43.692  < 2e-16 ***
ORIGIN_GRID_ID2068  4.0445849  0.1296509    31.196  < 2e-16 ***
ORIGIN_GRID_ID2069  4.3657257  0.1295757    33.692  < 2e-16 ***
ORIGIN_GRID_ID2085  3.3026684  0.1298421    25.436  < 2e-16 ***
ORIGIN_GRID_ID2086  4.7337277  0.1295191    36.548  < 2e-16 ***
ORIGIN_GRID_ID2087  3.3469174  0.1296799    25.809  < 2e-16 ***
ORIGIN_GRID_ID2088  4.0743694  0.1295400    31.453  < 2e-16 ***
ORIGIN_GRID_ID2089  3.8549098  0.1296261    29.739  < 2e-16 ***
ORIGIN_GRID_ID2090  5.3530167  0.1294982    41.337  < 2e-16 ***
ORIGIN_GRID_ID2091  0.6350794  0.1490976     4.259 2.05e-05 ***
ORIGIN_GRID_ID2105  1.3690447  0.1729854     7.914 2.49e-15 ***
ORIGIN_GRID_ID2106  1.6435398  0.1310460    12.542  < 2e-16 ***
ORIGIN_GRID_ID2107  2.7515870  0.1298210    21.195  < 2e-16 ***
ORIGIN_GRID_ID2108  4.0312654  0.1295816    31.110  < 2e-16 ***
ORIGIN_GRID_ID2109  4.1435236  0.1295357    31.988  < 2e-16 ***
ORIGIN_GRID_ID2110  3.5914328  0.1296740    27.696  < 2e-16 ***
ORIGIN_GRID_ID2111  0.6827934  0.1387074     4.923 8.54e-07 ***
ORIGIN_GRID_ID2128  2.4407853  0.1303441    18.726  < 2e-16 ***
ORIGIN_GRID_ID2129  1.8892312  0.1304780    14.479  < 2e-16 ***
ORIGIN_GRID_ID2130  4.5991720  0.1295120    35.512  < 2e-16 ***
ORIGIN_GRID_ID2131  4.9344596  0.1295346    38.094  < 2e-16 ***
ORIGIN_GRID_ID2132  3.8607399  0.1296046    29.789  < 2e-16 ***
ORIGIN_GRID_ID2148  3.3586508  0.1300198    25.832  < 2e-16 ***
ORIGIN_GRID_ID2149  1.9202201  0.1305429    14.709  < 2e-16 ***
ORIGIN_GRID_ID2150  4.4747519  0.1295395    34.544  < 2e-16 ***
ORIGIN_GRID_ID2151  4.9520741  0.1295004    38.240  < 2e-16 ***
ORIGIN_GRID_ID2152  5.1252857  0.1295085    39.575  < 2e-16 ***
ORIGIN_GRID_ID2153  4.4780224  0.1295767    34.559  < 2e-16 ***
ORIGIN_GRID_ID2171  3.4614431  0.1296761    26.693  < 2e-16 ***
ORIGIN_GRID_ID2172  3.5921648  0.1297092    27.694  < 2e-16 ***
ORIGIN_GRID_ID2173  4.1277056  0.1295583    31.860  < 2e-16 ***
ORIGIN_GRID_ID2174  4.4050143  0.1295667    33.998  < 2e-16 ***
ORIGIN_GRID_ID2191  3.1080217  0.1299204    23.922  < 2e-16 ***
ORIGIN_GRID_ID2192  2.8512432  0.1299864    21.935  < 2e-16 ***
ORIGIN_GRID_ID2193  3.7810669  0.1296124    29.172  < 2e-16 ***
ORIGIN_GRID_ID2194  4.2254067  0.1295605    32.613  < 2e-16 ***
ORIGIN_GRID_ID2195  3.5970382  0.1313635    27.382  < 2e-16 ***
ORIGIN_GRID_ID2212  0.3513632  0.1659159     2.118 0.034199 *  
ORIGIN_GRID_ID2213  0.7250896  0.1369898     5.293 1.20e-07 ***
ORIGIN_GRID_ID2214  1.2979397  0.1325044     9.795  < 2e-16 ***
ORIGIN_GRID_ID2215  3.8577960  0.1296547    29.754  < 2e-16 ***
ORIGIN_GRID_ID2216  2.8797110  0.1299567    22.159  < 2e-16 ***
ORIGIN_GRID_ID2233  0.9722065  0.1386183     7.014 2.32e-12 ***
ORIGIN_GRID_ID2234  2.6991471  0.1311508    20.580  < 2e-16 ***
ORIGIN_GRID_ID2235  2.6523287  0.1302287    20.367  < 2e-16 ***
ORIGIN_GRID_ID2236  2.6689875  0.1301238    20.511  < 2e-16 ***
ORIGIN_GRID_ID2237  0.3896868  0.1434759     2.716 0.006607 ** 
ORIGIN_GRID_ID2256  0.4057209  0.1369433     2.963 0.003050 ** 
ORIGIN_GRID_ID2257  2.4104485  0.1310721    18.390  < 2e-16 ***
ORIGIN_GRID_ID2258  1.9412589  0.1305367    14.871  < 2e-16 ***
ORIGIN_GRID_ID2259  1.4218246  0.1354665    10.496  < 2e-16 ***
ORIGIN_GRID_ID2277  2.5921467  0.1350162    19.199  < 2e-16 ***
ORIGIN_GRID_ID2278  2.9840065  0.1304961    22.867  < 2e-16 ***
ORIGIN_GRID_ID2279  1.5580820  0.1311136    11.883  < 2e-16 ***
ORIGIN_GRID_ID2280 -0.6682589  0.1861251    -3.590 0.000330 ***
ORIGIN_GRID_ID2297  4.3996436  0.1298243    33.889  < 2e-16 ***
ORIGIN_GRID_ID2300  0.2825226  0.1471284     1.920 0.054827 .  
ORIGIN_GRID_ID2301  1.8871756  0.1310241    14.403  < 2e-16 ***
ORIGIN_GRID_ID2318  2.4844203  0.1309715    18.969  < 2e-16 ***
ORIGIN_GRID_ID2319  3.0876630  0.1299704    23.757  < 2e-16 ***
ORIGIN_GRID_ID2322  2.9883089  0.1301146    22.967  < 2e-16 ***
ORIGIN_GRID_ID2337  4.0335768  0.1307038    30.860  < 2e-16 ***
ORIGIN_GRID_ID2341  3.4571939  0.1298977    26.615  < 2e-16 ***
ORIGIN_GRID_ID2343  2.3037361  0.1303076    17.679  < 2e-16 ***
ORIGIN_GRID_ID2361  3.1777032  0.1301040    24.424  < 2e-16 ***
ORIGIN_GRID_ID2364 -0.9479956  0.1610691    -5.886 3.97e-09 ***
ORIGIN_GRID_ID2379  3.4107526  0.1311009    26.016  < 2e-16 ***
ORIGIN_GRID_ID2384  2.0474549  0.1306598    15.670  < 2e-16 ***
ORIGIN_GRID_ID2405  1.6786496  0.1308066    12.833  < 2e-16 ***
ORIGIN_GRID_ID2406  0.4317805  0.1355121     3.186 0.001441 ** 
ORIGIN_GRID_ID2426  1.1570505  0.1337346     8.652  < 2e-16 ***
ORIGIN_GRID_ID2427  2.9864567  0.1300117    22.971  < 2e-16 ***
ORIGIN_GRID_ID2505  3.2462592  0.1375541    23.600  < 2e-16 ***
DESTIN_GRID_ID44    1.4624860  0.0599514    24.395  < 2e-16 ***
DESTIN_GRID_ID46    0.5331682  0.0595107     8.959  < 2e-16 ***
DESTIN_GRID_ID66   -0.3320008  0.0737212    -4.503 6.69e-06 ***
DESTIN_GRID_ID67    0.4696417  0.0576872     8.141 3.91e-16 ***
DESTIN_GRID_ID68    0.1786194  0.0596421     2.995 0.002746 ** 
DESTIN_GRID_ID86    0.5441985  0.0661281     8.229  < 2e-16 ***
DESTIN_GRID_ID87   -2.8315043  0.1051530   -26.927  < 2e-16 ***
DESTIN_GRID_ID88   -0.0308727  0.0586923    -0.526 0.598882    
DESTIN_GRID_ID89   -0.5611009  0.0601853    -9.323  < 2e-16 ***
DESTIN_GRID_ID90   -3.6891307  0.7095098    -5.200 2.00e-07 ***
DESTIN_GRID_ID109  -0.3506186  0.0610845    -5.740 9.47e-09 ***
DESTIN_GRID_ID110  -3.3021726  0.1302716   -25.348  < 2e-16 ***
DESTIN_GRID_ID111   1.1174823  0.0570266    19.596  < 2e-16 ***
DESTIN_GRID_ID112  -2.3544255  0.0649359   -36.258  < 2e-16 ***
DESTIN_GRID_ID128   1.2002220  0.0610706    19.653  < 2e-16 ***
DESTIN_GRID_ID129  -4.2793412  0.1496811   -28.590  < 2e-16 ***
DESTIN_GRID_ID130  -0.5627503  0.0605577    -9.293  < 2e-16 ***
DESTIN_GRID_ID131  -1.2795769  0.0602748   -21.229  < 2e-16 ***
DESTIN_GRID_ID132  -0.7621323  0.0576397   -13.222  < 2e-16 ***
DESTIN_GRID_ID133  -0.6592448  0.0570087   -11.564  < 2e-16 ***
DESTIN_GRID_ID134  -0.5243595  0.0568429    -9.225  < 2e-16 ***
DESTIN_GRID_ID150  -0.1411154  0.0654155    -2.157 0.030989 *  
DESTIN_GRID_ID151  -0.4586690  0.0603648    -7.598 3.00e-14 ***
DESTIN_GRID_ID152   0.4913220  0.0578567     8.492  < 2e-16 ***
DESTIN_GRID_ID153   0.0427622  0.0575499     0.743 0.457454    
DESTIN_GRID_ID154  -2.1122012  0.0625217   -33.783  < 2e-16 ***
DESTIN_GRID_ID155  -1.7201215  0.0590417   -29.134  < 2e-16 ***
DESTIN_GRID_ID156  -1.5904139  0.0601227   -26.453  < 2e-16 ***
DESTIN_GRID_ID172  -1.5236227  0.0719022   -21.190  < 2e-16 ***
DESTIN_GRID_ID174  -1.0247315  0.0579098   -17.695  < 2e-16 ***
DESTIN_GRID_ID175  -0.6161527  0.0566491   -10.877  < 2e-16 ***
DESTIN_GRID_ID176  -1.9672231  0.0631626   -31.145  < 2e-16 ***
DESTIN_GRID_ID195  -2.3227621  0.0638221   -36.394  < 2e-16 ***
DESTIN_GRID_ID196  -0.8811850  0.0566371   -15.558  < 2e-16 ***
DESTIN_GRID_ID197  -4.0878675  0.0951997   -42.940  < 2e-16 ***
DESTIN_GRID_ID215  -0.3733988  0.0633975    -5.890 3.87e-09 ***
DESTIN_GRID_ID216  -0.5072262  0.0579484    -8.753  < 2e-16 ***
DESTIN_GRID_ID217  -0.1767057  0.0565082    -3.127 0.001766 ** 
DESTIN_GRID_ID237  -2.4770462  0.0637291   -38.868  < 2e-16 ***
DESTIN_GRID_ID238  -1.4853314  0.0578222   -25.688  < 2e-16 ***
DESTIN_GRID_ID239  -1.7672708  0.0639682   -27.627  < 2e-16 ***
DESTIN_GRID_ID257   0.4761961  0.0582214     8.179 2.86e-16 ***
DESTIN_GRID_ID258  -1.3991486  0.0590879   -23.679  < 2e-16 ***
DESTIN_GRID_ID259  -0.2927528  0.0570379    -5.133 2.86e-07 ***
DESTIN_GRID_ID278   0.8479391  0.0576980    14.696  < 2e-16 ***
DESTIN_GRID_ID279  -0.8762764  0.0574057   -15.265  < 2e-16 ***
DESTIN_GRID_ID280  -0.6161109  0.0572352   -10.765  < 2e-16 ***
DESTIN_GRID_ID298  -3.8322281  0.1608998   -23.817  < 2e-16 ***
DESTIN_GRID_ID299  -0.5900393  0.0581466   -10.147  < 2e-16 ***
DESTIN_GRID_ID300  -1.1629633  0.0584288   -19.904  < 2e-16 ***
DESTIN_GRID_ID320   0.7340106  0.0576168    12.740  < 2e-16 ***
DESTIN_GRID_ID321  -1.5270825  0.0608577   -25.093  < 2e-16 ***
DESTIN_GRID_ID322  -0.2762832  0.0571085    -4.838 1.31e-06 ***
DESTIN_GRID_ID340   1.4463172  0.0569553    25.394  < 2e-16 ***
DESTIN_GRID_ID341  -0.0482526  0.0571570    -0.844 0.398551    
DESTIN_GRID_ID342  -0.4018783  0.0568447    -7.070 1.55e-12 ***
DESTIN_GRID_ID363  -0.4163730  0.0574594    -7.246 4.28e-13 ***
DESTIN_GRID_ID364  -0.4112995  0.0564049    -7.292 3.06e-13 ***
DESTIN_GRID_ID383   0.5974695  0.0566147    10.553  < 2e-16 ***
DESTIN_GRID_ID384  -0.6003152  0.0564951   -10.626  < 2e-16 ***
DESTIN_GRID_ID385  -1.5809602  0.0579193   -27.296  < 2e-16 ***
DESTIN_GRID_ID404   0.7285456  0.0572957    12.716  < 2e-16 ***
DESTIN_GRID_ID405  -0.0017707  0.0568760    -0.031 0.975164    
DESTIN_GRID_ID406   0.3280441  0.0561270     5.845 5.08e-09 ***
DESTIN_GRID_ID407  -0.1847824  0.0567581    -3.256 0.001131 ** 
DESTIN_GRID_ID408   0.9904145  0.0561916    17.626  < 2e-16 ***
DESTIN_GRID_ID425  -1.6440794  0.0611844   -26.871  < 2e-16 ***
DESTIN_GRID_ID426  -1.0583495  0.0568109   -18.629  < 2e-16 ***
DESTIN_GRID_ID427  -3.7248399  0.0618368   -60.237  < 2e-16 ***
DESTIN_GRID_ID428  -1.1467855  0.0571893   -20.052  < 2e-16 ***
DESTIN_GRID_ID429  -1.3391768  0.0608720   -22.000  < 2e-16 ***
DESTIN_GRID_ID446  -0.4318361  0.0605220    -7.135 9.67e-13 ***
DESTIN_GRID_ID447  -1.2596929  0.0584551   -21.550  < 2e-16 ***
DESTIN_GRID_ID448  -1.5701739  0.0570775   -27.510  < 2e-16 ***
DESTIN_GRID_ID449  -0.9332641  0.0563922   -16.550  < 2e-16 ***
DESTIN_GRID_ID450  -1.5364440  0.0573840   -26.775  < 2e-16 ***
DESTIN_GRID_ID468  -0.9072318  0.0569309   -15.936  < 2e-16 ***
DESTIN_GRID_ID469  -1.4515501  0.0565701   -25.659  < 2e-16 ***
DESTIN_GRID_ID470  -1.2582098  0.0564309   -22.296  < 2e-16 ***
DESTIN_GRID_ID471  -1.0894808  0.0585887   -18.595  < 2e-16 ***
DESTIN_GRID_ID488  -0.5062734  0.0602372    -8.405  < 2e-16 ***
DESTIN_GRID_ID489  -2.5885207  0.0737436   -35.102  < 2e-16 ***
DESTIN_GRID_ID490  -0.6725338  0.0565731   -11.888  < 2e-16 ***
DESTIN_GRID_ID491  -3.1559150  0.0584053   -54.035  < 2e-16 ***
DESTIN_GRID_ID493  -3.4963758  0.0743152   -47.048  < 2e-16 ***
DESTIN_GRID_ID494  -1.7032307  0.0605704   -28.120  < 2e-16 ***
DESTIN_GRID_ID509  -0.1462624  0.0580336    -2.520 0.011725 *  
DESTIN_GRID_ID510  -0.4193651  0.0568415    -7.378 1.61e-13 ***
DESTIN_GRID_ID511  -1.1973548  0.0563539   -21.247  < 2e-16 ***
DESTIN_GRID_ID512  -1.5120772  0.0563833   -26.818  < 2e-16 ***
DESTIN_GRID_ID513  -0.3554135  0.0565768    -6.282 3.34e-10 ***
DESTIN_GRID_ID514  -0.6610144  0.0572302   -11.550  < 2e-16 ***
DESTIN_GRID_ID515  -2.1604997  0.0645532   -33.469  < 2e-16 ***
DESTIN_GRID_ID530  -0.7656944  0.0630718   -12.140  < 2e-16 ***
DESTIN_GRID_ID531   1.4455133  0.0562872    25.681  < 2e-16 ***
DESTIN_GRID_ID532  -0.9559796  0.0566297   -16.881  < 2e-16 ***
DESTIN_GRID_ID533   0.2040941  0.0560218     3.643 0.000269 ***
DESTIN_GRID_ID534  -1.2870480  0.0563845   -22.826  < 2e-16 ***
DESTIN_GRID_ID536  -1.5752232  0.0589064   -26.741  < 2e-16 ***
DESTIN_GRID_ID537  -2.3623086  0.0658865   -35.854  < 2e-16 ***
DESTIN_GRID_ID538  -2.6975159  0.0714045   -37.778  < 2e-16 ***
DESTIN_GRID_ID539  -5.0234153  0.2730826   -18.395  < 2e-16 ***
DESTIN_GRID_ID551  -0.1567306  0.0587428    -2.668 0.007629 ** 
DESTIN_GRID_ID552   0.2474527  0.0569883     4.342 1.41e-05 ***
DESTIN_GRID_ID553  -1.7199300  0.0566187   -30.377  < 2e-16 ***
DESTIN_GRID_ID554  -1.7918780  0.0564025   -31.770  < 2e-16 ***
DESTIN_GRID_ID555  -0.5435785  0.0564833    -9.624  < 2e-16 ***
DESTIN_GRID_ID559  -2.8145915  0.0775951   -36.273  < 2e-16 ***
DESTIN_GRID_ID560  -0.4783951  0.0584981    -8.178 2.89e-16 ***
DESTIN_GRID_ID561  -2.8617681  0.0877713   -32.605  < 2e-16 ***
DESTIN_GRID_ID572  -1.0743681  0.0657328   -16.344  < 2e-16 ***
DESTIN_GRID_ID573   0.6106059  0.0569365    10.724  < 2e-16 ***
DESTIN_GRID_ID574  -1.2097612  0.0581364   -20.809  < 2e-16 ***
DESTIN_GRID_ID575   1.2344892  0.0559784    22.053  < 2e-16 ***
DESTIN_GRID_ID576  -1.3983694  0.0563246   -24.827  < 2e-16 ***
DESTIN_GRID_ID578  -4.7683512  0.1209514   -39.424  < 2e-16 ***
DESTIN_GRID_ID582  -3.0686695  0.0844682   -36.329  < 2e-16 ***
DESTIN_GRID_ID583  -4.9513051  0.3820977   -12.958  < 2e-16 ***
DESTIN_GRID_ID584  -1.4970629  0.0666719   -22.454  < 2e-16 ***
DESTIN_GRID_ID593  -1.7082441  0.0615412   -27.758  < 2e-16 ***
DESTIN_GRID_ID594  -0.3913954  0.0577024    -6.783 1.18e-11 ***
DESTIN_GRID_ID595  -0.6025499  0.0562620   -10.710  < 2e-16 ***
DESTIN_GRID_ID596  -1.1909728  0.0561843   -21.198  < 2e-16 ***
DESTIN_GRID_ID597  -1.6628591  0.0580974   -28.622  < 2e-16 ***
DESTIN_GRID_ID603  -2.6215172  0.0769874   -34.051  < 2e-16 ***
DESTIN_GRID_ID604  -2.1613105  0.0755892   -28.593  < 2e-16 ***
DESTIN_GRID_ID615  -1.3101238  0.0578812   -22.635  < 2e-16 ***
DESTIN_GRID_ID616  -0.8264494  0.0566977   -14.576  < 2e-16 ***
DESTIN_GRID_ID617  -1.9167467  0.0567100   -33.799  < 2e-16 ***
DESTIN_GRID_ID618  -1.4145140  0.0563655   -25.095  < 2e-16 ***
DESTIN_GRID_ID620  -1.2636786  0.0571270   -22.121  < 2e-16 ***
DESTIN_GRID_ID637  -1.3288022  0.0570320   -23.299  < 2e-16 ***
DESTIN_GRID_ID638  -1.3930781  0.0563036   -24.742  < 2e-16 ***
DESTIN_GRID_ID657   0.0254908  0.0564119     0.452 0.651363    
DESTIN_GRID_ID658  -0.6890636  0.0563086   -12.237  < 2e-16 ***
DESTIN_GRID_ID659  -0.9946705  0.0562707   -17.677  < 2e-16 ***
DESTIN_GRID_ID660  -0.5944060  0.0561313   -10.590  < 2e-16 ***
DESTIN_GRID_ID662  -1.1621583  0.0573416   -20.267  < 2e-16 ***
DESTIN_GRID_ID677   0.0875335  0.0567685     1.542 0.123089    
DESTIN_GRID_ID678  -1.8246658  0.0577236   -31.610  < 2e-16 ***
DESTIN_GRID_ID679  -0.3980577  0.0561965    -7.083 1.41e-12 ***
DESTIN_GRID_ID680   1.0480997  0.0560162    18.711  < 2e-16 ***
DESTIN_GRID_ID681  -2.8377105  0.0596445   -47.577  < 2e-16 ***
DESTIN_GRID_ID699  -0.4938595  0.0567084    -8.709  < 2e-16 ***
DESTIN_GRID_ID700  -1.0354385  0.0564452   -18.344  < 2e-16 ***
DESTIN_GRID_ID701  -3.5126977  0.0605667   -57.997  < 2e-16 ***
DESTIN_GRID_ID702  -0.8081616  0.0561859   -14.384  < 2e-16 ***
DESTIN_GRID_ID704  -1.6800955  0.0570996   -29.424  < 2e-16 ***
DESTIN_GRID_ID722  -1.5630289  0.0566937   -27.570  < 2e-16 ***
DESTIN_GRID_ID725  -3.8470323  0.0624666   -61.585  < 2e-16 ***
DESTIN_GRID_ID741   0.0562466  0.0564622     0.996 0.319162    
DESTIN_GRID_ID743  -3.6849690  0.0612001   -60.212  < 2e-16 ***
DESTIN_GRID_ID744  -0.7445814  0.0561938   -13.250  < 2e-16 ***
DESTIN_GRID_ID761   0.3504692  0.0566360     6.188 6.09e-10 ***
DESTIN_GRID_ID762  -1.7229021  0.0577557   -29.831  < 2e-16 ***
DESTIN_GRID_ID763  -3.3119528  0.0602140   -55.003  < 2e-16 ***
DESTIN_GRID_ID764  -0.2224540  0.0560890    -3.966 7.31e-05 ***
DESTIN_GRID_ID765  -1.0519790  0.0568291   -18.511  < 2e-16 ***
DESTIN_GRID_ID767  -1.3589152  0.0564476   -24.074  < 2e-16 ***
DESTIN_GRID_ID772  -2.3283828  0.0697495   -33.382  < 2e-16 ***
DESTIN_GRID_ID784  -3.1322613  0.0605052   -51.769  < 2e-16 ***
DESTIN_GRID_ID785  -1.1758337  0.0562692   -20.897  < 2e-16 ***
DESTIN_GRID_ID786  -1.0593268  0.0562008   -18.849  < 2e-16 ***
DESTIN_GRID_ID787  -1.8782540  0.0570920   -32.899  < 2e-16 ***
DESTIN_GRID_ID788  -3.3952483  0.0585563   -57.983  < 2e-16 ***
DESTIN_GRID_ID789  -3.5677526  0.0590484   -60.421  < 2e-16 ***
DESTIN_GRID_ID803  -0.8572608  0.0577445   -14.846  < 2e-16 ***
DESTIN_GRID_ID804  -0.3332015  0.0563497    -5.913 3.36e-09 ***
DESTIN_GRID_ID805   0.6065399  0.0560429    10.823  < 2e-16 ***
DESTIN_GRID_ID806  -1.2835970  0.0562847   -22.805  < 2e-16 ***
DESTIN_GRID_ID807  -1.2608901  0.0564795   -22.325  < 2e-16 ***
DESTIN_GRID_ID808  -2.6501936  0.0588321   -45.047  < 2e-16 ***
DESTIN_GRID_ID809  -1.4790081  0.0562576   -26.290  < 2e-16 ***
DESTIN_GRID_ID810  -1.8068946  0.0566396   -31.902  < 2e-16 ***
DESTIN_GRID_ID814  -1.2525046  0.0598518   -20.927  < 2e-16 ***
DESTIN_GRID_ID819  -0.1941675  0.0585576    -3.316 0.000914 ***
DESTIN_GRID_ID824  -0.6405147  0.0577050   -11.100  < 2e-16 ***
DESTIN_GRID_ID826  -0.9388190  0.0563137   -16.671  < 2e-16 ***
DESTIN_GRID_ID827  -1.3084359  0.0563750   -23.210  < 2e-16 ***
DESTIN_GRID_ID828  -1.1406741  0.0562201   -20.289  < 2e-16 ***
DESTIN_GRID_ID829  -1.5945707  0.0566013   -28.172  < 2e-16 ***
DESTIN_GRID_ID830  -3.1182491  0.0579200   -53.837  < 2e-16 ***
DESTIN_GRID_ID831   0.4313444  0.0560445     7.696 1.40e-14 ***
DESTIN_GRID_ID832   0.0509426  0.0561460     0.907 0.364235    
DESTIN_GRID_ID835  -1.6826145  0.0599380   -28.073  < 2e-16 ***
DESTIN_GRID_ID844  -0.9204713  0.0590054   -15.600  < 2e-16 ***
DESTIN_GRID_ID846  -0.9825733  0.0564517   -17.406  < 2e-16 ***
DESTIN_GRID_ID847  -0.2538514  0.0561666    -4.520 6.20e-06 ***
DESTIN_GRID_ID848  -1.4929337  0.0563766   -26.481  < 2e-16 ***
DESTIN_GRID_ID849  -2.1418465  0.0566139   -37.833  < 2e-16 ***
DESTIN_GRID_ID850  -1.3040440  0.0562616   -23.178  < 2e-16 ***
DESTIN_GRID_ID851  -1.9160438  0.0563956   -33.975  < 2e-16 ***
DESTIN_GRID_ID852  -1.9695090  0.0566361   -34.775  < 2e-16 ***
DESTIN_GRID_ID853  -0.9781103  0.0567864   -17.224  < 2e-16 ***
DESTIN_GRID_ID854  -0.8988821  0.0578460   -15.539  < 2e-16 ***
DESTIN_GRID_ID855  -1.8452509  0.0596010   -30.960  < 2e-16 ***
DESTIN_GRID_ID856  -2.4637411  0.0647014   -38.079  < 2e-16 ***
DESTIN_GRID_ID866  -0.1421270  0.0568678    -2.499 0.012446 *  
DESTIN_GRID_ID867   0.3739560  0.0561640     6.658 2.77e-11 ***
DESTIN_GRID_ID868  -0.1418996  0.0562512    -2.523 0.011649 *  
DESTIN_GRID_ID869   0.7682803  0.0562217    13.665  < 2e-16 ***
DESTIN_GRID_ID870   0.2609175  0.0560459     4.655 3.23e-06 ***
DESTIN_GRID_ID871   0.1714895  0.0561271     3.055 0.002248 ** 
DESTIN_GRID_ID872  -1.4493608  0.0563174   -25.736  < 2e-16 ***
DESTIN_GRID_ID873  -1.9073282  0.0566778   -33.652  < 2e-16 ***
DESTIN_GRID_ID874  -3.1056814  0.0577010   -53.824  < 2e-16 ***
DESTIN_GRID_ID875  -2.3975125  0.0624266   -38.405  < 2e-16 ***
DESTIN_GRID_ID876  -2.0306725  0.0591726   -34.318  < 2e-16 ***
DESTIN_GRID_ID877  -1.4676438  0.0579094   -25.344  < 2e-16 ***
DESTIN_GRID_ID887  -0.9642493  0.0567147   -17.002  < 2e-16 ***
DESTIN_GRID_ID888  -2.2215507  0.0578961   -38.371  < 2e-16 ***
DESTIN_GRID_ID889  -1.4950579  0.0574775   -26.011  < 2e-16 ***
DESTIN_GRID_ID890  -0.6318399  0.0562070   -11.241  < 2e-16 ***
DESTIN_GRID_ID891  -2.1861153  0.0580555   -37.656  < 2e-16 ***
DESTIN_GRID_ID893  -0.9075875  0.0561578   -16.161  < 2e-16 ***
DESTIN_GRID_ID894  -2.4773300  0.0571425   -43.354  < 2e-16 ***
DESTIN_GRID_ID895  -1.2389940  0.0567254   -21.842  < 2e-16 ***
DESTIN_GRID_ID896  -3.6045152  0.0653784   -55.133  < 2e-16 ***
DESTIN_GRID_ID897  -3.7250573  0.0644033   -57.840  < 2e-16 ***
DESTIN_GRID_ID898  -1.4076147  0.0584871   -24.067  < 2e-16 ***
DESTIN_GRID_ID908  -0.0733363  0.0570412    -1.286 0.198558    
DESTIN_GRID_ID909  -0.9731296  0.0563495   -17.270  < 2e-16 ***
DESTIN_GRID_ID910  -1.9146930  0.0571989   -33.474  < 2e-16 ***
DESTIN_GRID_ID911   0.1617294  0.0561278     2.881 0.003959 ** 
DESTIN_GRID_ID912  -1.6566725  0.0565498   -29.296  < 2e-16 ***
DESTIN_GRID_ID915  -1.4988266  0.0563125   -26.616  < 2e-16 ***
DESTIN_GRID_ID917   0.0406137  0.0562610     0.722 0.470369    
DESTIN_GRID_ID918  -4.1835040  0.0688968   -60.721  < 2e-16 ***
DESTIN_GRID_ID919  -2.4782804  0.0583805   -42.450  < 2e-16 ***
DESTIN_GRID_ID928  -2.0975536  0.0591366   -35.470  < 2e-16 ***
DESTIN_GRID_ID929  -1.2122534  0.0564966   -21.457  < 2e-16 ***
DESTIN_GRID_ID930   0.0513081  0.0560980     0.915 0.360393    
DESTIN_GRID_ID931  -1.4542596  0.0569936   -25.516  < 2e-16 ***
DESTIN_GRID_ID932  -3.1603291  0.0614002   -51.471  < 2e-16 ***
DESTIN_GRID_ID933  -1.1724728  0.0565780   -20.723  < 2e-16 ***
DESTIN_GRID_ID934  -1.3773554  0.0565131   -24.372  < 2e-16 ***
DESTIN_GRID_ID935   0.4598061  0.0560347     8.206 2.29e-16 ***
DESTIN_GRID_ID938  -5.2919818  0.1535327   -34.468  < 2e-16 ***
DESTIN_GRID_ID939  -0.4353142  0.0563720    -7.722 1.14e-14 ***
DESTIN_GRID_ID940  -3.0911103  0.0597857   -51.703  < 2e-16 ***
DESTIN_GRID_ID949  -1.7260292  0.0581089   -29.703  < 2e-16 ***
DESTIN_GRID_ID950   0.2503009  0.0562152     4.453 8.49e-06 ***
DESTIN_GRID_ID951   0.9732599  0.0560377    17.368  < 2e-16 ***
DESTIN_GRID_ID952  -0.5064026  0.0565268    -8.959  < 2e-16 ***
DESTIN_GRID_ID953  -1.0393527  0.0567060   -18.329  < 2e-16 ***
DESTIN_GRID_ID954  -2.9623060  0.0587717   -50.404  < 2e-16 ***
DESTIN_GRID_ID955  -0.1989219  0.0561618    -3.542 0.000397 ***
DESTIN_GRID_ID956  -2.1565616  0.0568036   -37.965  < 2e-16 ***
DESTIN_GRID_ID957  -2.1308841  0.0568193   -37.503  < 2e-16 ***
DESTIN_GRID_ID959  -1.5211525  0.0594156   -25.602  < 2e-16 ***
DESTIN_GRID_ID961  -1.9378276  0.0573969   -33.762  < 2e-16 ***
DESTIN_GRID_ID962   0.1532034  0.0563384     2.719 0.006541 ** 
DESTIN_GRID_ID970  -0.8120774  0.0565563   -14.359  < 2e-16 ***
DESTIN_GRID_ID971  -0.3468879  0.0561686    -6.176 6.58e-10 ***
DESTIN_GRID_ID972  -1.2165823  0.0565044   -21.531  < 2e-16 ***
DESTIN_GRID_ID974  -1.6157812  0.0571210   -28.287  < 2e-16 ***
DESTIN_GRID_ID975  -2.8543011  0.0587337   -48.597  < 2e-16 ***
DESTIN_GRID_ID976  -2.1164260  0.0570367   -37.106  < 2e-16 ***
DESTIN_GRID_ID977  -1.7839696  0.0564088   -31.626  < 2e-16 ***
DESTIN_GRID_ID978  -2.1807962  0.0572025   -38.124  < 2e-16 ***
DESTIN_GRID_ID982  -2.4553226  0.0571962   -42.928  < 2e-16 ***
DESTIN_GRID_ID983   0.3923990  0.0563858     6.959 3.42e-12 ***
DESTIN_GRID_ID984   1.5975118  0.0564566    28.296  < 2e-16 ***
DESTIN_GRID_ID991  -0.3327533  0.0564562    -5.894 3.77e-09 ***
DESTIN_GRID_ID992  -0.4982260  0.0563626    -8.840  < 2e-16 ***
DESTIN_GRID_ID993  -1.7938759  0.0568611   -31.548  < 2e-16 ***
DESTIN_GRID_ID994  -1.8746299  0.0573389   -32.694  < 2e-16 ***
DESTIN_GRID_ID995  -1.2445682  0.0566533   -21.968  < 2e-16 ***
DESTIN_GRID_ID996  -1.8587548  0.0572827   -32.449  < 2e-16 ***
DESTIN_GRID_ID997  -1.5524976  0.0575529   -26.975  < 2e-16 ***
DESTIN_GRID_ID998  -1.2207416  0.0563536   -21.662  < 2e-16 ***
DESTIN_GRID_ID999  -2.4045463  0.0570854   -42.122  < 2e-16 ***
DESTIN_GRID_ID1001 -1.2718232  0.0581095   -21.887  < 2e-16 ***
DESTIN_GRID_ID1003  0.2513579  0.0561027     4.480 7.45e-06 ***
DESTIN_GRID_ID1004 -0.9789895  0.0562971   -17.390  < 2e-16 ***
DESTIN_GRID_ID1011 -0.7718502  0.0573244   -13.465  < 2e-16 ***
DESTIN_GRID_ID1012  0.1742400  0.0565287     3.082 0.002054 ** 
DESTIN_GRID_ID1013 -0.4993677  0.0564252    -8.850  < 2e-16 ***
DESTIN_GRID_ID1014 -2.5181528  0.0588502   -42.789  < 2e-16 ***
DESTIN_GRID_ID1015 -0.0638786  0.0562172    -1.136 0.255838    
DESTIN_GRID_ID1016  0.2724468  0.0561188     4.855 1.20e-06 ***
DESTIN_GRID_ID1018 -2.1026971  0.0574296   -36.613  < 2e-16 ***
DESTIN_GRID_ID1019 -1.3197447  0.0563783   -23.409  < 2e-16 ***
DESTIN_GRID_ID1023 -2.1569788  0.0577362   -37.359  < 2e-16 ***
DESTIN_GRID_ID1024 -0.9793391  0.0563670   -17.374  < 2e-16 ***
DESTIN_GRID_ID1025 -5.7552764  0.1173907   -49.027  < 2e-16 ***
DESTIN_GRID_ID1033  0.0204920  0.0563443     0.364 0.716088    
DESTIN_GRID_ID1034  0.2513431  0.0561835     4.474 7.69e-06 ***
DESTIN_GRID_ID1035  0.1159257  0.0562039     2.063 0.039151 *  
DESTIN_GRID_ID1036  0.2628201  0.0561608     4.680 2.87e-06 ***
DESTIN_GRID_ID1037 -0.9052083  0.0563911   -16.052  < 2e-16 ***
DESTIN_GRID_ID1043 -0.5618215  0.0570936    -9.840  < 2e-16 ***
DESTIN_GRID_ID1045 -1.1692434  0.0563385   -20.754  < 2e-16 ***
DESTIN_GRID_ID1046 -0.7591332  0.0563404   -13.474  < 2e-16 ***
DESTIN_GRID_ID1053  0.6075032  0.0562038    10.809  < 2e-16 ***
DESTIN_GRID_ID1054  0.1815205  0.0562366     3.228 0.001247 ** 
DESTIN_GRID_ID1055 -1.1266867  0.0567490   -19.854  < 2e-16 ***
DESTIN_GRID_ID1056 -1.4875489  0.0572084   -26.002  < 2e-16 ***
DESTIN_GRID_ID1064 -3.7174405  0.1038032   -35.812  < 2e-16 ***
DESTIN_GRID_ID1066 -0.3526665  0.0561629    -6.279 3.40e-10 ***
DESTIN_GRID_ID1067 -5.9092467  0.1534580   -38.507  < 2e-16 ***
DESTIN_GRID_ID1074 -1.5426084  0.0579811   -26.605  < 2e-16 ***
DESTIN_GRID_ID1075 -0.0984324  0.0564286    -1.744 0.081094 .  
DESTIN_GRID_ID1076 -0.6570460  0.0564555   -11.638  < 2e-16 ***
DESTIN_GRID_ID1077 -1.3666650  0.0569766   -23.986  < 2e-16 ***
DESTIN_GRID_ID1079 -0.3724194  0.0563186    -6.613 3.77e-11 ***
DESTIN_GRID_ID1085 -1.9697915  0.0738698   -26.666  < 2e-16 ***
DESTIN_GRID_ID1087 -1.1664262  0.0563724   -20.691  < 2e-16 ***
DESTIN_GRID_ID1088 -0.8430664  0.0563055   -14.973  < 2e-16 ***
DESTIN_GRID_ID1094 -3.1207059  0.0791509   -39.427  < 2e-16 ***
DESTIN_GRID_ID1095 -0.7387424  0.0581847   -12.697  < 2e-16 ***
DESTIN_GRID_ID1096 -0.3384658  0.0584011    -5.796 6.81e-09 ***
DESTIN_GRID_ID1097  0.3316250  0.0561504     5.906 3.50e-09 ***
DESTIN_GRID_ID1098 -2.4022207  0.0607937   -39.514  < 2e-16 ***
DESTIN_GRID_ID1099 -1.0859915  0.0566325   -19.176  < 2e-16 ***
DESTIN_GRID_ID1105  0.8509969  0.0567691    14.990  < 2e-16 ***
DESTIN_GRID_ID1106 -4.3006517  0.1102125   -39.021  < 2e-16 ***
DESTIN_GRID_ID1107 -0.8058798  0.0565400   -14.253  < 2e-16 ***
DESTIN_GRID_ID1108  1.1406987  0.0560502    20.351  < 2e-16 ***
DESTIN_GRID_ID1109 -3.5591406  0.0661156   -53.832  < 2e-16 ***
DESTIN_GRID_ID1116 -0.4926957  0.0566718    -8.694  < 2e-16 ***
DESTIN_GRID_ID1117 -0.1987146  0.0565684    -3.513 0.000443 ***
DESTIN_GRID_ID1118 -2.2036468  0.0594704   -37.054  < 2e-16 ***
DESTIN_GRID_ID1119 -1.5058145  0.0571755   -26.337  < 2e-16 ***
DESTIN_GRID_ID1120 -2.0602289  0.0591035   -34.858  < 2e-16 ***
DESTIN_GRID_ID1129 -1.8213306  0.0566334   -32.160  < 2e-16 ***
DESTIN_GRID_ID1130 -1.0127386  0.0562938   -17.990  < 2e-16 ***
DESTIN_GRID_ID1131  0.2364142  0.0564020     4.192 2.77e-05 ***
DESTIN_GRID_ID1136  0.6135175  0.0562267    10.912  < 2e-16 ***
DESTIN_GRID_ID1138 -1.8370626  0.0593287   -30.964  < 2e-16 ***
DESTIN_GRID_ID1139 -1.0152408  0.0565400   -17.956  < 2e-16 ***
DESTIN_GRID_ID1141 -0.9714291  0.0566146   -17.159  < 2e-16 ***
DESTIN_GRID_ID1148 -2.1245919  0.0636417   -33.384  < 2e-16 ***
DESTIN_GRID_ID1149 -2.1896615  0.0577803   -37.896  < 2e-16 ***
DESTIN_GRID_ID1150 -1.8259734  0.0564793   -32.330  < 2e-16 ***
DESTIN_GRID_ID1151 -1.0205637  0.0564109   -18.092  < 2e-16 ***
DESTIN_GRID_ID1158 -1.4049011  0.0572974   -24.519  < 2e-16 ***
DESTIN_GRID_ID1159 -1.2712418  0.0568709   -22.353  < 2e-16 ***
DESTIN_GRID_ID1160  0.3375576  0.0561499     6.012 1.84e-09 ***
DESTIN_GRID_ID1171 -0.8145828  0.0563496   -14.456  < 2e-16 ***
DESTIN_GRID_ID1172  0.4993247  0.0560911     8.902  < 2e-16 ***
DESTIN_GRID_ID1173  0.1210385  0.0562490     2.152 0.031410 *  
DESTIN_GRID_ID1174 -2.1484022  0.0692641   -31.018  < 2e-16 ***
DESTIN_GRID_ID1178  0.7957984  0.0561206    14.180  < 2e-16 ***
DESTIN_GRID_ID1179 -0.1599075  0.0562652    -2.842 0.004483 ** 
DESTIN_GRID_ID1180 -0.0467405  0.0562087    -0.832 0.405662    
DESTIN_GRID_ID1181 -1.2939279  0.0567794   -22.789  < 2e-16 ***
DESTIN_GRID_ID1183  0.4618542  0.0561474     8.226  < 2e-16 ***
DESTIN_GRID_ID1190 -1.9339897  0.0617660   -31.312  < 2e-16 ***
DESTIN_GRID_ID1192 -0.8603358  0.0562864   -15.285  < 2e-16 ***
DESTIN_GRID_ID1193 -0.5997636  0.0562687   -10.659  < 2e-16 ***
DESTIN_GRID_ID1194  0.0894112  0.0563283     1.587 0.112440    
DESTIN_GRID_ID1200 -0.5136854  0.0565613    -9.082  < 2e-16 ***
DESTIN_GRID_ID1201 -0.7885746  0.0565848   -13.936  < 2e-16 ***
DESTIN_GRID_ID1203 -0.8704054  0.0566653   -15.360  < 2e-16 ***
DESTIN_GRID_ID1204 -1.0031036  0.0567250   -17.684  < 2e-16 ***
DESTIN_GRID_ID1211 -5.9411656  0.4507523   -13.181  < 2e-16 ***
DESTIN_GRID_ID1214 -1.8043700  0.0567549   -31.792  < 2e-16 ***
DESTIN_GRID_ID1215 -0.9426852  0.0572520   -16.466  < 2e-16 ***
DESTIN_GRID_ID1216 -0.3909255  0.0569020    -6.870 6.41e-12 ***
DESTIN_GRID_ID1220 -0.3107502  0.0563734    -5.512 3.54e-08 ***
DESTIN_GRID_ID1221  0.2705195  0.0561641     4.817 1.46e-06 ***
DESTIN_GRID_ID1222 -0.9301858  0.0575808   -16.154  < 2e-16 ***
DESTIN_GRID_ID1223 -1.5909617  0.0575686   -27.636  < 2e-16 ***
DESTIN_GRID_ID1224 -0.7846624  0.0565775   -13.869  < 2e-16 ***
DESTIN_GRID_ID1231 -3.4176319  0.0847200   -40.340  < 2e-16 ***
DESTIN_GRID_ID1232 -1.4182151  0.0601362   -23.583  < 2e-16 ***
DESTIN_GRID_ID1235 -0.8999508  0.0563299   -15.976  < 2e-16 ***
DESTIN_GRID_ID1236 -0.9719200  0.0566558   -17.155  < 2e-16 ***
DESTIN_GRID_ID1241 -1.6038054  0.0574199   -27.931  < 2e-16 ***
DESTIN_GRID_ID1242 -1.1304498  0.0568409   -19.888  < 2e-16 ***
DESTIN_GRID_ID1243  0.0571952  0.0562333     1.017 0.309103    
DESTIN_GRID_ID1246 -1.2534208  0.0568249   -22.058  < 2e-16 ***
DESTIN_GRID_ID1256 -1.6537209  0.0567114   -29.160  < 2e-16 ***
DESTIN_GRID_ID1257 -0.4754750  0.0563687    -8.435  < 2e-16 ***
DESTIN_GRID_ID1258  0.5472622  0.0562465     9.730  < 2e-16 ***
DESTIN_GRID_ID1262 -1.9033397  0.0579238   -32.859  < 2e-16 ***
DESTIN_GRID_ID1263  0.4456036  0.0561055     7.942 1.99e-15 ***
DESTIN_GRID_ID1264 -0.3506568  0.0565244    -6.204 5.52e-10 ***
DESTIN_GRID_ID1265 -0.4437133  0.0566178    -7.837 4.61e-15 ***
DESTIN_GRID_ID1266 -0.3975920  0.0564480    -7.044 1.87e-12 ***
DESTIN_GRID_ID1267 -2.0514507  0.0593763   -34.550  < 2e-16 ***
DESTIN_GRID_ID1272 -5.6509125  0.1312585   -43.052  < 2e-16 ***
DESTIN_GRID_ID1273 -0.5107670  0.0564758    -9.044  < 2e-16 ***
DESTIN_GRID_ID1277 -0.3645366  0.0562001    -6.486 8.79e-11 ***
DESTIN_GRID_ID1278 -0.6482251  0.0563585   -11.502  < 2e-16 ***
DESTIN_GRID_ID1283  0.8741669  0.0561059    15.581  < 2e-16 ***
DESTIN_GRID_ID1284  0.4329932  0.0561472     7.712 1.24e-14 ***
DESTIN_GRID_ID1285  0.1815301  0.0562032     3.230 0.001238 ** 
DESTIN_GRID_ID1286 -0.6983655  0.0569406   -12.265  < 2e-16 ***
DESTIN_GRID_ID1289 -3.1053086  0.0690452   -44.975  < 2e-16 ***
DESTIN_GRID_ID1293 -4.7112912  0.1038025   -45.387  < 2e-16 ***
DESTIN_GRID_ID1294 -0.6664717  0.0567616   -11.742  < 2e-16 ***
DESTIN_GRID_ID1295 -3.1658802  0.0616811   -51.327  < 2e-16 ***
DESTIN_GRID_ID1298 -1.2467705  0.0564802   -22.074  < 2e-16 ***
DESTIN_GRID_ID1299 -1.4291809  0.0568024   -25.161  < 2e-16 ***
DESTIN_GRID_ID1304 -0.0749484  0.0563277    -1.331 0.183328    
DESTIN_GRID_ID1305 -0.0684594  0.0561856    -1.218 0.223053    
DESTIN_GRID_ID1307 -1.3082803  0.0592465   -22.082  < 2e-16 ***
DESTIN_GRID_ID1308 -0.1559166  0.0562909    -2.770 0.005608 ** 
DESTIN_GRID_ID1310 -5.0616968  0.2305193   -21.958  < 2e-16 ***
DESTIN_GRID_ID1316 -2.4397547  0.0582385   -41.892  < 2e-16 ***
DESTIN_GRID_ID1317 -2.6939421  0.0578452   -46.572  < 2e-16 ***
DESTIN_GRID_ID1318 -2.7677771  0.0585907   -47.239  < 2e-16 ***
DESTIN_GRID_ID1319  0.1346556  0.0561344     2.399 0.016449 *  
DESTIN_GRID_ID1320 -1.7921810  0.0575446   -31.144  < 2e-16 ***
DESTIN_GRID_ID1324 -0.2590469  0.0594490    -4.357 1.32e-05 ***
DESTIN_GRID_ID1325 -2.1771715  0.0584371   -37.257  < 2e-16 ***
DESTIN_GRID_ID1326 -0.5081240  0.0563606    -9.016  < 2e-16 ***
DESTIN_GRID_ID1327 -0.2343029  0.0562791    -4.163 3.14e-05 ***
DESTIN_GRID_ID1328 -0.4299225  0.0564431    -7.617 2.60e-14 ***
DESTIN_GRID_ID1329 -0.6371654  0.0568450   -11.209  < 2e-16 ***
DESTIN_GRID_ID1330  0.7078960  0.0562339    12.588  < 2e-16 ***
DESTIN_GRID_ID1331 -5.8996221  0.2940572   -20.063  < 2e-16 ***
DESTIN_GRID_ID1333 -1.9575651  0.0585166   -33.453  < 2e-16 ***
DESTIN_GRID_ID1334 -1.6219117  0.0577817   -28.070  < 2e-16 ***
DESTIN_GRID_ID1335  0.0661916  0.0562972     1.176 0.239694    
DESTIN_GRID_ID1336 -3.2326834  0.0739636   -43.706  < 2e-16 ***
DESTIN_GRID_ID1337 -3.5923955  0.0658534   -54.551  < 2e-16 ***
DESTIN_GRID_ID1338 -3.9010105  0.0630012   -61.920  < 2e-16 ***
DESTIN_GRID_ID1339 -0.2949809  0.0561604    -5.252 1.50e-07 ***
DESTIN_GRID_ID1340 -1.6688436  0.0569377   -29.310  < 2e-16 ***
DESTIN_GRID_ID1341 -5.3577738  0.1106210   -48.434  < 2e-16 ***
DESTIN_GRID_ID1346 -0.3774241  0.0565701    -6.672 2.53e-11 ***
DESTIN_GRID_ID1347  0.8221109  0.0561298    14.647  < 2e-16 ***
DESTIN_GRID_ID1348 -0.6442331  0.0564832   -11.406  < 2e-16 ***
DESTIN_GRID_ID1349  0.3583489  0.0562806     6.367 1.93e-10 ***
DESTIN_GRID_ID1350 -1.2814012  0.0577496   -22.189  < 2e-16 ***
DESTIN_GRID_ID1353 -0.6657291  0.0564848   -11.786  < 2e-16 ***
DESTIN_GRID_ID1354 -1.3430646  0.0569359   -23.589  < 2e-16 ***
DESTIN_GRID_ID1355 -1.7376851  0.0572761   -30.339  < 2e-16 ***
DESTIN_GRID_ID1357 -2.2452227  0.0593065   -37.858  < 2e-16 ***
DESTIN_GRID_ID1358 -0.1456115  0.0561427    -2.594 0.009498 ** 
DESTIN_GRID_ID1359 -1.4712587  0.0563803   -26.095  < 2e-16 ***
DESTIN_GRID_ID1360 -1.6147466  0.0564757   -28.592  < 2e-16 ***
DESTIN_GRID_ID1361 -1.6236021  0.0569368   -28.516  < 2e-16 ***
DESTIN_GRID_ID1362 -2.7893191  0.0627587   -44.445  < 2e-16 ***
DESTIN_GRID_ID1368 -1.3156453  0.0569374   -23.107  < 2e-16 ***
DESTIN_GRID_ID1369 -1.1202038  0.0567606   -19.736  < 2e-16 ***
DESTIN_GRID_ID1370  0.4618029  0.0561265     8.228  < 2e-16 ***
DESTIN_GRID_ID1371 -0.3756126  0.0564937    -6.649 2.96e-11 ***
DESTIN_GRID_ID1372 -0.3848015  0.0564162    -6.821 9.06e-12 ***
DESTIN_GRID_ID1373 -3.3825092  0.0665030   -50.862  < 2e-16 ***
DESTIN_GRID_ID1374 -2.1833201  0.0581928   -37.519  < 2e-16 ***
DESTIN_GRID_ID1375 -0.3565812  0.0565518    -6.305 2.87e-10 ***
DESTIN_GRID_ID1376 -1.9910206  0.0585657   -33.996  < 2e-16 ***
DESTIN_GRID_ID1379 -5.3854892  0.0957315   -56.256  < 2e-16 ***
DESTIN_GRID_ID1380  0.3878718  0.0560726     6.917 4.60e-12 ***
DESTIN_GRID_ID1381  0.5873184  0.0560611    10.476  < 2e-16 ***
DESTIN_GRID_ID1382 -0.2054129  0.0562145    -3.654 0.000258 ***
DESTIN_GRID_ID1383 -2.9021304  0.0594870   -48.786  < 2e-16 ***
DESTIN_GRID_ID1388 -0.5451870  0.0564540    -9.657  < 2e-16 ***
DESTIN_GRID_ID1389 -0.7873025  0.0565796   -13.915  < 2e-16 ***
DESTIN_GRID_ID1390 -0.4417250  0.0564747    -7.822 5.21e-15 ***
DESTIN_GRID_ID1391  0.2765642  0.0562222     4.919 8.69e-07 ***
DESTIN_GRID_ID1392 -0.2444473  0.0571794    -4.275 1.91e-05 ***
DESTIN_GRID_ID1393 -0.9615063  0.0566335   -16.978  < 2e-16 ***
DESTIN_GRID_ID1394 -0.6384301  0.0563636   -11.327  < 2e-16 ***
DESTIN_GRID_ID1395 -1.1053054  0.0565310   -19.552  < 2e-16 ***
DESTIN_GRID_ID1396 -0.3589208  0.0562611    -6.380 1.78e-10 ***
DESTIN_GRID_ID1397 -1.4677042  0.0566852   -25.892  < 2e-16 ***
DESTIN_GRID_ID1398 -1.6592032  0.0578736   -28.669  < 2e-16 ***
DESTIN_GRID_ID1400 -2.2282641  0.0571073   -39.019  < 2e-16 ***
DESTIN_GRID_ID1401  0.1294066  0.0560726     2.308 0.021008 *  
DESTIN_GRID_ID1402 -1.1912604  0.0562854   -21.165  < 2e-16 ***
DESTIN_GRID_ID1404 -1.9088433  0.0619295   -30.823  < 2e-16 ***
DESTIN_GRID_ID1410  0.0070657  0.0562372     0.126 0.900016    
DESTIN_GRID_ID1411 -0.4132232  0.0565573    -7.306 2.75e-13 ***
DESTIN_GRID_ID1412  0.1398474  0.0561793     2.489 0.012799 *  
DESTIN_GRID_ID1413 -0.5149771  0.0564083    -9.129  < 2e-16 ***
DESTIN_GRID_ID1414 -0.5749905  0.0563248   -10.208  < 2e-16 ***
DESTIN_GRID_ID1415 -0.2921167  0.0562753    -5.191 2.09e-07 ***
DESTIN_GRID_ID1416 -0.8247100  0.0564683   -14.605  < 2e-16 ***
DESTIN_GRID_ID1417 -0.6522440  0.0562679   -11.592  < 2e-16 ***
DESTIN_GRID_ID1418 -0.7618937  0.0563158   -13.529  < 2e-16 ***
DESTIN_GRID_ID1419 -1.0872882  0.0565368   -19.232  < 2e-16 ***
DESTIN_GRID_ID1422 -1.5216896  0.0563314   -27.013  < 2e-16 ***
DESTIN_GRID_ID1423 -1.0802624  0.0562571   -19.202  < 2e-16 ***
DESTIN_GRID_ID1430  0.2341785  0.0562482     4.163 3.14e-05 ***
DESTIN_GRID_ID1431  0.5077023  0.0561420     9.043  < 2e-16 ***
DESTIN_GRID_ID1432  0.2190216  0.0561560     3.900 9.61e-05 ***
DESTIN_GRID_ID1433 -0.6430583  0.0568916   -11.303  < 2e-16 ***
DESTIN_GRID_ID1434  0.3339650  0.0561564     5.947 2.73e-09 ***
DESTIN_GRID_ID1435 -0.2120603  0.0562003    -3.773 0.000161 ***
DESTIN_GRID_ID1436 -1.5270701  0.0570607   -26.762  < 2e-16 ***
DESTIN_GRID_ID1437 -0.9122757  0.0563979   -16.176  < 2e-16 ***
DESTIN_GRID_ID1438 -0.4104049  0.0561692    -7.307 2.74e-13 ***
DESTIN_GRID_ID1439  0.4025573  0.0561057     7.175 7.23e-13 ***
DESTIN_GRID_ID1440 -0.3741862  0.0564149    -6.633 3.29e-11 ***
DESTIN_GRID_ID1442 -3.4577927  0.0590847   -58.523  < 2e-16 ***
DESTIN_GRID_ID1443 -1.5025943  0.0563259   -26.677  < 2e-16 ***
DESTIN_GRID_ID1444 -0.2869472  0.0562932    -5.097 3.44e-07 ***
DESTIN_GRID_ID1452  0.9306557  0.0560831    16.594  < 2e-16 ***
DESTIN_GRID_ID1453 -0.0443476  0.0562816    -0.788 0.430721    
DESTIN_GRID_ID1454 -1.0567194  0.0574848   -18.383  < 2e-16 ***
DESTIN_GRID_ID1455 -0.4243451  0.0564861    -7.512 5.81e-14 ***
DESTIN_GRID_ID1456 -0.4689799  0.0563360    -8.325  < 2e-16 ***
DESTIN_GRID_ID1457  0.0770079  0.0562060     1.370 0.170655    
DESTIN_GRID_ID1458  1.0038970  0.0560513    17.910  < 2e-16 ***
DESTIN_GRID_ID1459 -1.7799877  0.0567253   -31.379  < 2e-16 ***
DESTIN_GRID_ID1460 -0.5821813  0.0561938   -10.360  < 2e-16 ***
DESTIN_GRID_ID1461 -0.6696925  0.0564384   -11.866  < 2e-16 ***
DESTIN_GRID_ID1464 -1.5098781  0.0564302   -26.757  < 2e-16 ***
DESTIN_GRID_ID1465 -2.3828620  0.0570496   -41.768  < 2e-16 ***
DESTIN_GRID_ID1472 -0.1417830  0.0565339    -2.508 0.012144 *  
DESTIN_GRID_ID1473  0.7301623  0.0561207    13.011  < 2e-16 ***
DESTIN_GRID_ID1474  0.4363012  0.0561078     7.776 7.48e-15 ***
DESTIN_GRID_ID1475  0.0112977  0.0561990     0.201 0.840674    
DESTIN_GRID_ID1476 -0.8367445  0.0565217   -14.804  < 2e-16 ***
DESTIN_GRID_ID1477  0.8919219  0.0560439    15.915  < 2e-16 ***
DESTIN_GRID_ID1478 -0.6865055  0.0562569   -12.203  < 2e-16 ***
DESTIN_GRID_ID1479 -1.4541570  0.0565120   -25.732  < 2e-16 ***
DESTIN_GRID_ID1480  0.7522278  0.0560506    13.421  < 2e-16 ***
DESTIN_GRID_ID1481 -0.9212336  0.0564496   -16.320  < 2e-16 ***
DESTIN_GRID_ID1482  0.3116281  0.0562170     5.543 2.97e-08 ***
DESTIN_GRID_ID1485 -2.4873717  0.0570579   -43.594  < 2e-16 ***
DESTIN_GRID_ID1494  0.5583516  0.0561643     9.941  < 2e-16 ***
DESTIN_GRID_ID1495 -0.4091541  0.0563572    -7.260 3.87e-13 ***
DESTIN_GRID_ID1496  0.4096215  0.0561172     7.299 2.89e-13 ***
DESTIN_GRID_ID1497 -0.9044266  0.0565889   -15.982  < 2e-16 ***
DESTIN_GRID_ID1498 -0.7545776  0.0564189   -13.375  < 2e-16 ***
DESTIN_GRID_ID1499 -0.4867120  0.0561918    -8.662  < 2e-16 ***
DESTIN_GRID_ID1500 -0.7819313  0.0566493   -13.803  < 2e-16 ***
DESTIN_GRID_ID1501 -0.1597557  0.0561350    -2.846 0.004428 ** 
DESTIN_GRID_ID1502 -0.3195947  0.0561734    -5.689 1.27e-08 ***
DESTIN_GRID_ID1506 -3.1835783  0.0885150   -35.967  < 2e-16 ***
DESTIN_GRID_ID1515 -0.3475809  0.0579431    -5.999 1.99e-09 ***
DESTIN_GRID_ID1516  0.4686079  0.0561148     8.351  < 2e-16 ***
DESTIN_GRID_ID1517 -0.3970991  0.0564547    -7.034 2.01e-12 ***
DESTIN_GRID_ID1518 -1.2368191  0.0566954   -21.815  < 2e-16 ***
DESTIN_GRID_ID1519 -1.0862840  0.0566944   -19.160  < 2e-16 ***
DESTIN_GRID_ID1520 -1.2581816  0.0564633   -22.283  < 2e-16 ***
DESTIN_GRID_ID1521 -1.2072628  0.0564993   -21.368  < 2e-16 ***
DESTIN_GRID_ID1522 -0.6155585  0.0562465   -10.944  < 2e-16 ***
DESTIN_GRID_ID1523  0.7629720  0.0561856    13.580  < 2e-16 ***
DESTIN_GRID_ID1524 -1.6673007  0.0574511   -29.021  < 2e-16 ***
DESTIN_GRID_ID1527 -4.1477081  0.0654104   -63.411  < 2e-16 ***
DESTIN_GRID_ID1535 -0.7995649  0.0907170    -8.814  < 2e-16 ***
DESTIN_GRID_ID1536 -1.8502045  0.0634229   -29.172  < 2e-16 ***
DESTIN_GRID_ID1537  0.0266097  0.0563666     0.472 0.636868    
DESTIN_GRID_ID1538 -0.2444498  0.0562783    -4.344 1.40e-05 ***
DESTIN_GRID_ID1539 -0.2701121  0.0562069    -4.806 1.54e-06 ***
DESTIN_GRID_ID1540 -0.9944909  0.0563676   -17.643  < 2e-16 ***
DESTIN_GRID_ID1541 -0.2286825  0.0565693    -4.043 5.29e-05 ***
DESTIN_GRID_ID1542 -0.9871666  0.0567704   -17.389  < 2e-16 ***
DESTIN_GRID_ID1543 -1.4454525  0.0631163   -22.901  < 2e-16 ***
DESTIN_GRID_ID1544 -1.2339003  0.0568346   -21.710  < 2e-16 ***
DESTIN_GRID_ID1547 -1.8297492  0.0577965   -31.658  < 2e-16 ***
DESTIN_GRID_ID1556 -0.8215764  0.0924554    -8.886  < 2e-16 ***
DESTIN_GRID_ID1557 -1.4817580  0.0599488   -24.717  < 2e-16 ***
DESTIN_GRID_ID1558 -0.3721279  0.0576834    -6.451 1.11e-10 ***
DESTIN_GRID_ID1559  0.2679318  0.0561387     4.773 1.82e-06 ***
DESTIN_GRID_ID1560  0.2724083  0.0561237     4.854 1.21e-06 ***
DESTIN_GRID_ID1561 -0.6314256  0.0564407   -11.187  < 2e-16 ***
DESTIN_GRID_ID1562 -2.5774826  0.0584790   -44.075  < 2e-16 ***
DESTIN_GRID_ID1563 -1.7704476  0.0568604   -31.137  < 2e-16 ***
DESTIN_GRID_ID1564 -1.3743092  0.0566408   -24.264  < 2e-16 ***
DESTIN_GRID_ID1565 -0.7835988  0.0563599   -13.903  < 2e-16 ***
DESTIN_GRID_ID1566 -2.5631257  0.0585157   -43.802  < 2e-16 ***
DESTIN_GRID_ID1567 -2.3793086  0.0587016   -40.532  < 2e-16 ***
DESTIN_GRID_ID1568 -1.3354385  0.0570625   -23.403  < 2e-16 ***
DESTIN_GRID_ID1578 -1.3244657  0.1247767   -10.615  < 2e-16 ***
DESTIN_GRID_ID1580 -2.6161969  0.0633105   -41.323  < 2e-16 ***
DESTIN_GRID_ID1581 -0.1908107  0.0562212    -3.394 0.000689 ***
DESTIN_GRID_ID1582  0.0361902  0.0561306     0.645 0.519090    
DESTIN_GRID_ID1583 -1.9324753  0.0602860   -32.055  < 2e-16 ***
DESTIN_GRID_ID1584 -1.6504462  0.0574282   -28.739  < 2e-16 ***
DESTIN_GRID_ID1585 -1.3197221  0.0567274   -23.264  < 2e-16 ***
DESTIN_GRID_ID1586 -0.5048567  0.0562617    -8.973  < 2e-16 ***
DESTIN_GRID_ID1589 -2.7744482  0.0601086   -46.157  < 2e-16 ***
DESTIN_GRID_ID1590 -1.5780260  0.0575747   -27.408  < 2e-16 ***
DESTIN_GRID_ID1600 -0.7563546  0.0583710   -12.958  < 2e-16 ***
DESTIN_GRID_ID1601 -1.1240272  0.0565219   -19.887  < 2e-16 ***
DESTIN_GRID_ID1602 -0.7855477  0.0564624   -13.913  < 2e-16 ***
DESTIN_GRID_ID1603  0.3392110  0.0561366     6.043 1.52e-09 ***
DESTIN_GRID_ID1604 -1.9435393  0.0571297   -34.020  < 2e-16 ***
DESTIN_GRID_ID1605 -0.9038678  0.0563199   -16.049  < 2e-16 ***
DESTIN_GRID_ID1606 -1.7454120  0.0580662   -30.059  < 2e-16 ***
DESTIN_GRID_ID1607 -0.3232986  0.0561599    -5.757 8.57e-09 ***
DESTIN_GRID_ID1608 -1.1749869  0.0564075   -20.830  < 2e-16 ***
DESTIN_GRID_ID1609 -0.4081415  0.0562388    -7.257 3.95e-13 ***
DESTIN_GRID_ID1610 -2.5454704  0.0625812   -40.675  < 2e-16 ***
DESTIN_GRID_ID1622 -0.5083743  0.0574504    -8.849  < 2e-16 ***
DESTIN_GRID_ID1623 -0.0818152  0.0561608    -1.457 0.145171    
DESTIN_GRID_ID1624  0.4796137  0.0561277     8.545  < 2e-16 ***
DESTIN_GRID_ID1625 -0.4424004  0.0563039    -7.857 3.92e-15 ***
DESTIN_GRID_ID1626  1.2279048  0.0560350    21.913  < 2e-16 ***
DESTIN_GRID_ID1627 -1.8684061  0.0567619   -32.917  < 2e-16 ***
DESTIN_GRID_ID1628  0.1602513  0.0561125     2.856 0.004292 ** 
DESTIN_GRID_ID1629 -2.9023448  0.0582079   -49.862  < 2e-16 ***
DESTIN_GRID_ID1630 -2.4325347  0.0572680   -42.476  < 2e-16 ***
DESTIN_GRID_ID1631 -2.6869338  0.0587587   -45.728  < 2e-16 ***
DESTIN_GRID_ID1642 -2.8234818  0.0654092   -43.166  < 2e-16 ***
DESTIN_GRID_ID1643 -0.5708194  0.0563256   -10.134  < 2e-16 ***
DESTIN_GRID_ID1644 -0.5606081  0.0565917    -9.906  < 2e-16 ***
DESTIN_GRID_ID1645 -0.7352777  0.0563904   -13.039  < 2e-16 ***
DESTIN_GRID_ID1646 -0.4442121  0.0565832    -7.851 4.14e-15 ***
DESTIN_GRID_ID1647 -1.2236338  0.0563741   -21.706  < 2e-16 ***
DESTIN_GRID_ID1648 -1.0839224  0.0562970   -19.254  < 2e-16 ***
DESTIN_GRID_ID1649 -0.5381008  0.0561567    -9.582  < 2e-16 ***
DESTIN_GRID_ID1650 -1.4967568  0.0565556   -26.465  < 2e-16 ***
DESTIN_GRID_ID1664 -5.0300885  0.1428153   -35.221  < 2e-16 ***
DESTIN_GRID_ID1665  0.0306507  0.0561473     0.546 0.585137    
DESTIN_GRID_ID1666  0.0730552  0.0561414     1.301 0.193166    
DESTIN_GRID_ID1667 -0.6382262  0.0578885   -11.025  < 2e-16 ***
DESTIN_GRID_ID1668 -1.2075839  0.0564628   -21.387  < 2e-16 ***
DESTIN_GRID_ID1670 -0.7123790  0.0561804   -12.680  < 2e-16 ***
DESTIN_GRID_ID1671 -1.2911898  0.0573069   -22.531  < 2e-16 ***
DESTIN_GRID_ID1672 -2.2244148  0.0574209   -38.739  < 2e-16 ***
DESTIN_GRID_ID1684 -0.2375400  0.0567495    -4.186 2.84e-05 ***
DESTIN_GRID_ID1685 -1.4775285  0.0568455   -25.992  < 2e-16 ***
DESTIN_GRID_ID1686 -0.5878988  0.0563001   -10.442  < 2e-16 ***
DESTIN_GRID_ID1687 -0.3304564  0.0564310    -5.856 4.74e-09 ***
DESTIN_GRID_ID1688 -1.1394150  0.0564618   -20.180  < 2e-16 ***
DESTIN_GRID_ID1689 -1.8984741  0.0569710   -33.324  < 2e-16 ***
DESTIN_GRID_ID1690 -2.5897051  0.0577033   -44.880  < 2e-16 ***
DESTIN_GRID_ID1691 -0.6174263  0.0561716   -10.992  < 2e-16 ***
DESTIN_GRID_ID1692 -2.7094923  0.0580714   -46.658  < 2e-16 ***
DESTIN_GRID_ID1706 -0.7059904  0.0565845   -12.477  < 2e-16 ***
DESTIN_GRID_ID1707 -1.5007164  0.0566925   -26.471  < 2e-16 ***
DESTIN_GRID_ID1708 -0.9055526  0.0564033   -16.055  < 2e-16 ***
DESTIN_GRID_ID1709 -0.1496906  0.0561907    -2.664 0.007722 ** 
DESTIN_GRID_ID1710 -0.3278023  0.0562210    -5.831 5.52e-09 ***
DESTIN_GRID_ID1711  0.1325654  0.0561125     2.362 0.018152 *  
DESTIN_GRID_ID1712 -0.7820813  0.0561846   -13.920  < 2e-16 ***
DESTIN_GRID_ID1713 -3.1567412  0.0584361   -54.020  < 2e-16 ***
DESTIN_GRID_ID1714 -1.8325666  0.0567091   -32.315  < 2e-16 ***
DESTIN_GRID_ID1727 -0.2232911  0.0562905    -3.967 7.29e-05 ***
DESTIN_GRID_ID1728 -0.2038589  0.0561890    -3.628 0.000286 ***
DESTIN_GRID_ID1729 -0.0947607  0.0561655    -1.687 0.091571 .  
DESTIN_GRID_ID1730 -1.0635538  0.0566158   -18.785  < 2e-16 ***
DESTIN_GRID_ID1731 -0.2555691  0.0561794    -4.549 5.39e-06 ***
DESTIN_GRID_ID1732 -0.9388520  0.0562216   -16.699  < 2e-16 ***
DESTIN_GRID_ID1733 -2.1062001  0.0566964   -37.149  < 2e-16 ***
DESTIN_GRID_ID1734 -0.8955159  0.0562161   -15.930  < 2e-16 ***
DESTIN_GRID_ID1735 -1.7474385  0.0583486   -29.948  < 2e-16 ***
DESTIN_GRID_ID1748 -1.2666544  0.0568279   -22.289  < 2e-16 ***
DESTIN_GRID_ID1749 -0.0709001  0.0561503    -1.263 0.206703    
DESTIN_GRID_ID1750 -0.0876593  0.0561620    -1.561 0.118564    
DESTIN_GRID_ID1751 -0.5342335  0.0563557    -9.480  < 2e-16 ***
DESTIN_GRID_ID1753 -0.3606659  0.0561781    -6.420 1.36e-10 ***
DESTIN_GRID_ID1754  0.4760227  0.0560548     8.492  < 2e-16 ***
DESTIN_GRID_ID1755 -0.3195111  0.0561098    -5.694 1.24e-08 ***
DESTIN_GRID_ID1756 -1.3663682  0.0563017   -24.269  < 2e-16 ***
DESTIN_GRID_ID1757 -3.6827361  0.0606530   -60.718  < 2e-16 ***
DESTIN_GRID_ID1769 -0.5319071  0.0563424    -9.441  < 2e-16 ***
DESTIN_GRID_ID1770 -0.8001897  0.0566400   -14.128  < 2e-16 ***
DESTIN_GRID_ID1771 -0.0003885  0.0562397    -0.007 0.994488    
DESTIN_GRID_ID1772  1.1043463  0.0564600    19.560  < 2e-16 ***
DESTIN_GRID_ID1774 -1.5165638  0.0564622   -26.860  < 2e-16 ***
DESTIN_GRID_ID1775 -1.9375849  0.0565775   -34.247  < 2e-16 ***
DESTIN_GRID_ID1776  0.2500387  0.0560639     4.460 8.20e-06 ***
DESTIN_GRID_ID1777 -1.8927256  0.0565409   -33.475  < 2e-16 ***
DESTIN_GRID_ID1778 -2.8474570  0.0605472   -47.029  < 2e-16 ***
DESTIN_GRID_ID1790  0.0002262  0.0562590     0.004 0.996792    
DESTIN_GRID_ID1791 -0.6614622  0.0563974   -11.729  < 2e-16 ***
DESTIN_GRID_ID1792 -0.3735370  0.0564859    -6.613 3.77e-11 ***
DESTIN_GRID_ID1793 -0.3844375  0.0563039    -6.828 8.62e-12 ***
DESTIN_GRID_ID1794  1.4147227  0.0564994    25.040  < 2e-16 ***
DESTIN_GRID_ID1795 -2.8404834  0.0599596   -47.373  < 2e-16 ***
DESTIN_GRID_ID1796 -0.8483657  0.0562570   -15.080  < 2e-16 ***
DESTIN_GRID_ID1797 -1.2735430  0.0562841   -22.627  < 2e-16 ***
DESTIN_GRID_ID1798 -1.1976639  0.0562562   -21.289  < 2e-16 ***
DESTIN_GRID_ID1799 -2.1380035  0.0568003   -37.641  < 2e-16 ***
DESTIN_GRID_ID1800 -4.2612553  0.0860338   -49.530  < 2e-16 ***
DESTIN_GRID_ID1811 -1.0370702  0.0566770   -18.298  < 2e-16 ***
DESTIN_GRID_ID1812  0.3986053  0.0560941     7.106 1.19e-12 ***
DESTIN_GRID_ID1813  0.6332645  0.0560818    11.292  < 2e-16 ***
DESTIN_GRID_ID1817 -2.6851926  0.0577248   -46.517  < 2e-16 ***
DESTIN_GRID_ID1818 -1.5850764  0.0563196   -28.144  < 2e-16 ***
DESTIN_GRID_ID1819  0.0858283  0.0560779     1.531 0.125888    
DESTIN_GRID_ID1820 -4.6017352  0.0758046   -60.705  < 2e-16 ***
DESTIN_GRID_ID1832  0.1749103  0.0561919     3.113 0.001854 ** 
DESTIN_GRID_ID1833 -1.0780352  0.0565051   -19.079  < 2e-16 ***
DESTIN_GRID_ID1834 -1.0606681  0.0564268   -18.797  < 2e-16 ***
DESTIN_GRID_ID1835 -0.9708715  0.0565327   -17.174  < 2e-16 ***
DESTIN_GRID_ID1837 -1.1085426  0.0577574   -19.193  < 2e-16 ***
DESTIN_GRID_ID1839 -2.7475239  0.0576325   -47.673  < 2e-16 ***
DESTIN_GRID_ID1840  0.1509157  0.0560887     2.691 0.007131 ** 
DESTIN_GRID_ID1841 -3.7467300  0.0627604   -59.699  < 2e-16 ***
DESTIN_GRID_ID1842 -1.2336089  0.0589006   -20.944  < 2e-16 ***
DESTIN_GRID_ID1853 -0.5643922  0.0563101   -10.023  < 2e-16 ***
DESTIN_GRID_ID1854 -0.4014980  0.0562571    -7.137 9.55e-13 ***
DESTIN_GRID_ID1855 -0.0047396  0.0561870    -0.084 0.932775    
DESTIN_GRID_ID1858  0.0564477  0.0566229     0.997 0.318810    
DESTIN_GRID_ID1860 -2.1089557  0.0602264   -35.017  < 2e-16 ***
DESTIN_GRID_ID1861 -1.3619344  0.0563357   -24.175  < 2e-16 ***
DESTIN_GRID_ID1874 -1.0682737  0.0569907   -18.745  < 2e-16 ***
DESTIN_GRID_ID1875 -2.8397822  0.0608752   -46.649  < 2e-16 ***
DESTIN_GRID_ID1876 -1.5107694  0.0612414   -24.669  < 2e-16 ***
DESTIN_GRID_ID1877 -0.2172391  0.0562244    -3.864 0.000112 ***
DESTIN_GRID_ID1880 -0.8703498  0.0577658   -15.067  < 2e-16 ***
DESTIN_GRID_ID1882 -1.4596389  0.0563900   -25.885  < 2e-16 ***
DESTIN_GRID_ID1883 -2.5834125  0.0600858   -42.995  < 2e-16 ***
DESTIN_GRID_ID1895 -0.1003154  0.0562295    -1.784 0.074418 .  
DESTIN_GRID_ID1896 -1.2339552  0.0565801   -21.809  < 2e-16 ***
DESTIN_GRID_ID1897 -2.0654867  0.0575050   -35.918  < 2e-16 ***
DESTIN_GRID_ID1898 -2.4097851  0.0615814   -39.132  < 2e-16 ***
DESTIN_GRID_ID1901 -1.3964685  0.0596212   -23.422  < 2e-16 ***
DESTIN_GRID_ID1903 -3.0174522  0.0592683   -50.912  < 2e-16 ***
DESTIN_GRID_ID1917 -1.4424921  0.0568538   -25.372  < 2e-16 ***
DESTIN_GRID_ID1918 -0.2224026  0.0564156    -3.942 8.07e-05 ***
DESTIN_GRID_ID1919 -0.1003840  0.0562024    -1.786 0.074080 .  
DESTIN_GRID_ID1922 -0.1668297  0.0570013    -2.927 0.003425 ** 
DESTIN_GRID_ID1924 -3.2602061  0.0608916   -53.541  < 2e-16 ***
DESTIN_GRID_ID1937 -0.7554426  0.0565440   -13.360  < 2e-16 ***
DESTIN_GRID_ID1938 -0.0025386  0.0561850    -0.045 0.963961    
DESTIN_GRID_ID1939 -1.2851046  0.0567778   -22.634  < 2e-16 ***
DESTIN_GRID_ID1942 -1.5203529  0.0591823   -25.689  < 2e-16 ***
DESTIN_GRID_ID1959 -1.2520703  0.0569317   -21.993  < 2e-16 ***
DESTIN_GRID_ID1960  1.0990867  0.0560435    19.611  < 2e-16 ***
DESTIN_GRID_ID1961 -1.4085173  0.0569147   -24.748  < 2e-16 ***
DESTIN_GRID_ID1962 -0.5941571  0.0563418   -10.546  < 2e-16 ***
DESTIN_GRID_ID1964  0.1174481  0.0571507     2.055 0.039873 *  
DESTIN_GRID_ID1979 -0.7233074  0.0566366   -12.771  < 2e-16 ***
DESTIN_GRID_ID1980 -1.0279060  0.0564444   -18.211  < 2e-16 ***
DESTIN_GRID_ID1981 -1.0782036  0.0565007   -19.083  < 2e-16 ***
DESTIN_GRID_ID1982 -0.5886939  0.0565677   -10.407  < 2e-16 ***
DESTIN_GRID_ID1983 -0.7333040  0.0563589   -13.011  < 2e-16 ***
DESTIN_GRID_ID1984 -0.5592396  0.0563427    -9.926  < 2e-16 ***
DESTIN_GRID_ID1985 -0.4367130  0.0563011    -7.757 8.71e-15 ***
DESTIN_GRID_ID2001 -0.7424787  0.0564226   -13.159  < 2e-16 ***
DESTIN_GRID_ID2002 -0.7421737  0.0562690   -13.190  < 2e-16 ***
DESTIN_GRID_ID2003 -0.0817493  0.0561769    -1.455 0.145611    
DESTIN_GRID_ID2004  0.0764432  0.0561681     1.361 0.173523    
DESTIN_GRID_ID2005 -0.9156454  0.0564091   -16.232  < 2e-16 ***
DESTIN_GRID_ID2006 -0.0057881  0.0562003    -0.103 0.917971    
DESTIN_GRID_ID2007 -3.4383673  0.0650368   -52.868  < 2e-16 ***
DESTIN_GRID_ID2022 -0.2260020  0.0564227    -4.006 6.19e-05 ***
DESTIN_GRID_ID2023 -0.2243879  0.0562040    -3.992 6.54e-05 ***
DESTIN_GRID_ID2024  0.1015354  0.0561341     1.809 0.070482 .  
DESTIN_GRID_ID2025 -1.3050802  0.0564536   -23.118  < 2e-16 ***
DESTIN_GRID_ID2026 -1.9690633  0.0574411   -34.280  < 2e-16 ***
DESTIN_GRID_ID2027  0.0942057  0.0561699     1.677 0.093512 .  
DESTIN_GRID_ID2043 -1.6802640  0.0573761   -29.285  < 2e-16 ***
DESTIN_GRID_ID2044 -0.7269773  0.0563394   -12.904  < 2e-16 ***
DESTIN_GRID_ID2045 -1.3321575  0.0573653   -23.222  < 2e-16 ***
DESTIN_GRID_ID2046  0.0220006  0.0561198     0.392 0.695037    
DESTIN_GRID_ID2047 -1.8995960  0.0569317   -33.366  < 2e-16 ***
DESTIN_GRID_ID2048 -1.6083955  0.0567692   -28.332  < 2e-16 ***
DESTIN_GRID_ID2049 -3.3525747  0.0636989   -52.632  < 2e-16 ***
DESTIN_GRID_ID2064 -0.8409802  0.0564957   -14.886  < 2e-16 ***
DESTIN_GRID_ID2065 -0.9683981  0.0564870   -17.144  < 2e-16 ***
DESTIN_GRID_ID2066 -3.3097427  0.0676822   -48.901  < 2e-16 ***
DESTIN_GRID_ID2067  1.5674872  0.0560325    27.975  < 2e-16 ***
DESTIN_GRID_ID2068 -1.9884626  0.0580672   -34.244  < 2e-16 ***
DESTIN_GRID_ID2069 -1.4285035  0.0567739   -25.161  < 2e-16 ***
DESTIN_GRID_ID2085 -0.6493191  0.0565079   -11.491  < 2e-16 ***
DESTIN_GRID_ID2086  0.6636016  0.0561241    11.824  < 2e-16 ***
DESTIN_GRID_ID2087  0.3540287  0.0561415     6.306 2.86e-10 ***
DESTIN_GRID_ID2088 -0.9028251  0.0563186   -16.031  < 2e-16 ***
DESTIN_GRID_ID2089 -1.3768168  0.0567844   -24.246  < 2e-16 ***
DESTIN_GRID_ID2090  1.2618872  0.0560521    22.513  < 2e-16 ***
DESTIN_GRID_ID2091 -4.1298108  0.0905412   -45.613  < 2e-16 ***
DESTIN_GRID_ID2105 -1.5115088  0.0870251   -17.369  < 2e-16 ***
DESTIN_GRID_ID2106 -2.1896308  0.0581561   -37.651  < 2e-16 ***
DESTIN_GRID_ID2107  0.5329657  0.0561260     9.496  < 2e-16 ***
DESTIN_GRID_ID2108  0.1320797  0.0562085     2.350 0.018783 *  
DESTIN_GRID_ID2109 -1.3418811  0.0564644   -23.765  < 2e-16 ***
DESTIN_GRID_ID2110 -2.0051222  0.0573871   -34.940  < 2e-16 ***
DESTIN_GRID_ID2111 -3.1711484  0.0667261   -47.525  < 2e-16 ***
DESTIN_GRID_ID2128 -0.4469066  0.0566514    -7.889 3.05e-15 ***
DESTIN_GRID_ID2129 -0.7793076  0.0570877   -13.651  < 2e-16 ***
DESTIN_GRID_ID2130 -0.7417364  0.0562978   -13.175  < 2e-16 ***
DESTIN_GRID_ID2131 -0.7742401  0.0565326   -13.695  < 2e-16 ***
DESTIN_GRID_ID2132 -1.3530148  0.0566295   -23.892  < 2e-16 ***
DESTIN_GRID_ID2148 -1.3812584  0.0584856   -23.617  < 2e-16 ***
DESTIN_GRID_ID2149 -1.3359996  0.0571863   -23.362  < 2e-16 ***
DESTIN_GRID_ID2150 -1.1389131  0.0567840   -20.057  < 2e-16 ***
DESTIN_GRID_ID2151  0.6927875  0.0560811    12.353  < 2e-16 ***
DESTIN_GRID_ID2152 -0.3600313  0.0562715    -6.398 1.57e-10 ***
DESTIN_GRID_ID2153 -1.6445268  0.0573770   -28.662  < 2e-16 ***
DESTIN_GRID_ID2171 -0.1504116  0.0563111    -2.671 0.007561 ** 
DESTIN_GRID_ID2172 -1.7996115  0.0573137   -31.399  < 2e-16 ***
DESTIN_GRID_ID2173 -1.3456379  0.0565392   -23.800  < 2e-16 ***
DESTIN_GRID_ID2174 -0.6460881  0.0564149   -11.452  < 2e-16 ***
DESTIN_GRID_ID2191  0.0462125  0.0566390     0.816 0.414550    
DESTIN_GRID_ID2192 -1.1645794  0.0571751   -20.369  < 2e-16 ***
DESTIN_GRID_ID2193 -0.4725554  0.0563858    -8.381  < 2e-16 ***
DESTIN_GRID_ID2194 -0.5655078  0.0563188   -10.041  < 2e-16 ***
DESTIN_GRID_ID2195 -2.6188590  0.0695562   -37.651  < 2e-16 ***
DESTIN_GRID_ID2212  0.4022417  0.0577883     6.961 3.39e-12 ***
DESTIN_GRID_ID2213 -0.2630728  0.0567461    -4.636 3.55e-06 ***
DESTIN_GRID_ID2214  0.6408292  0.0565127    11.340  < 2e-16 ***
DESTIN_GRID_ID2215 -1.1686576  0.0569498   -20.521  < 2e-16 ***
DESTIN_GRID_ID2216 -0.2237773  0.0563362    -3.972 7.12e-05 ***
DESTIN_GRID_ID2233  0.5528177  0.0569666     9.704  < 2e-16 ***
DESTIN_GRID_ID2234  1.1636997  0.0566599    20.538  < 2e-16 ***
DESTIN_GRID_ID2235 -0.2210756  0.0568078    -3.892 9.96e-05 ***
DESTIN_GRID_ID2236 -1.6725840  0.0577444   -28.965  < 2e-16 ***
DESTIN_GRID_ID2237 -0.1447585  0.0572494    -2.529 0.011453 *  
DESTIN_GRID_ID2256  0.0240725  0.0574691     0.419 0.675306    
DESTIN_GRID_ID2257 -2.5383261  0.0633018   -40.099  < 2e-16 ***
DESTIN_GRID_ID2258 -0.4025875  0.0564925    -7.126 1.03e-12 ***
DESTIN_GRID_ID2259  0.6390185  0.0570166    11.208  < 2e-16 ***
DESTIN_GRID_ID2277 -1.2058625  0.0620193   -19.443  < 2e-16 ***
DESTIN_GRID_ID2278 -1.0364124  0.0586762   -17.663  < 2e-16 ***
DESTIN_GRID_ID2279 -0.2119838  0.0565156    -3.751 0.000176 ***
DESTIN_GRID_ID2280 -1.5569256  0.0658152   -23.656  < 2e-16 ***
DESTIN_GRID_ID2297 -1.5184772  0.0597673   -25.406  < 2e-16 ***
DESTIN_GRID_ID2300 -1.1998356  0.0598378   -20.051  < 2e-16 ***
DESTIN_GRID_ID2301 -0.5110001  0.0569116    -8.979  < 2e-16 ***
DESTIN_GRID_ID2318  0.8554331  0.0562907    15.197  < 2e-16 ***
DESTIN_GRID_ID2319  0.7850917  0.0562766    13.951  < 2e-16 ***
DESTIN_GRID_ID2322 -0.2299003  0.0569045    -4.040 5.34e-05 ***
DESTIN_GRID_ID2337  0.1741154  0.0597446     2.914 0.003565 ** 
DESTIN_GRID_ID2341  1.0063818  0.0562634    17.887  < 2e-16 ***
DESTIN_GRID_ID2343 -1.0924958  0.0577950   -18.903  < 2e-16 ***
DESTIN_GRID_ID2361 -0.2502748  0.0568730    -4.401 1.08e-05 ***
DESTIN_GRID_ID2364 -2.3202217  0.0667959   -34.736  < 2e-16 ***
DESTIN_GRID_ID2379 -1.0452739  0.0630891   -16.568  < 2e-16 ***
DESTIN_GRID_ID2384  0.8460054  0.0564245    14.994  < 2e-16 ***
DESTIN_GRID_ID2405  1.6191473  0.0562189    28.801  < 2e-16 ***
DESTIN_GRID_ID2406 -1.4130374  0.0610447   -23.148  < 2e-16 ***
DESTIN_GRID_ID2426  1.0424775  0.0571466    18.242  < 2e-16 ***
DESTIN_GRID_ID2427  1.3086936  0.0564288    23.192  < 2e-16 ***
DESTIN_GRID_ID2505  0.7641516  0.0596898    12.802  < 2e-16 ***
log(dist)          -1.5794583  0.0003209 -4921.781  < 2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

(Dispersion parameter for poisson family taken to be 1)

    Null deviance: 80934257  on 62183  degrees of freedom
Residual deviance: 20701997  on 60549  degrees of freedom
AIC: 21041345

Number of Fisher Scoring iterations: 9

Conclusion and limitations

Four Spatial Interaction Models were built and compared to find out the important factors influencing the commuter flow in the Weekday Morning peak period. The R-squared values for the UNC, ORC, DEC and DBC models are 0.25, 0.38, 0.37 and 0.58 respectively. From the UNC and ORC models, the significant factors affecting commuter flow are distance (negative relationship), destination MRT station exits count and destination school count (in order of highest influence first). From the DEC model, the significant factors are distance and origin 5room flat dwellers count.

When the outliers were removed, the R-squared value of the new DBC model increased to 0.60. Possible reason why the model could not predict flow of bus stops near Woodlands Checkpoint region could be that the number of people commuting between JB and Singapore daily for work purpose is really too huge and concentrated over Woodlands. We are also lacking the work opportunities information in JB side for model to predict properly.

With the models created, possible ‘what-if’ scenarios can be simulated; take for instance what if there are new MRT stations / development of a new residential town in the future? The models could predict new flows patterns and assist transport authority to plan ahead.

Limitations of this exercise would include:

  1. The Passenger Volume by Origin Destination Bus Stops data used does not include any transfer trip information. With our attractive and propulsive attributes, we can only assume that passengers take only 1 bus trip from source to their intended destination. With the inclusion of the MRT train station exits locations, we factor in the possibility of passenger commuting to MRT station for transfer.
  2. The population density distribution of Residents could only be estimated from the HDB.csv and not directly taken from the Resident Distribution by single age and subzone dataset because we have reduced our basic spatial unit to 750m hexagons instead of subzone (to reduce social-economic and spatial aggregation errors). Now, each hexagon could have a mix of 7 subzones inside it, thus use of Resident Distribution by single age and subzone dataset is inappropriate (otherwise we could have achieved better results).

Acknowledgement

I would like to extend my heartfelt gratitude to Prof Kam for being an exceptional instructor and mentor throughout all his courses that I have attended. His dedication, patience, and generosity in sharing knowledge have made a profound impact on my MITB journey. Thank you!

References

Tin Seong Kam. “2 Choropleth Mapping with R” From R for Geospatial Data Science and Analytics https://r4gdsa.netlify.app/chap02

Tin Seong Kam. “15 Processing and Visualszing Flow Data” From R for Geospatial Data Science and Analytics https://r4gdsa.netlify.app/chap15

Tin Seong Kam. “In-Class Exercise 4: Preparing Spatial Interaction Modelling Variables” https://isss624.netlify.app/in-class_ex/in-class_ex4/in-class_ex4-gds#data-integration-and-final-touch-up